@article {
author = {Park, Choonkil and Kim, Sang Og},
title = {Quadratic $alpha$-functional equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {1-9},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1066.1218},
abstract = {In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + \alpha^{-2}f(\alpha(x-y)); (0.1)$ where $\alpha$ is a fixed non-Archimedean number with $\alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $\alpha$-functional equation (0.1) in non-Archimedean Banach spaces.},
keywords = {Hyers-Ulam stability,non-Archimedean normed space,direct method,Fixed point,quadratic $alpha$-functional equation},
url = {https://ijnaa.semnan.ac.ir/article_2351.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2351_0cc225d42285c772edd3782614976e89.pdf}
}
@article {
author = {Baloui Jamkhaneh, Ezzatallah},
title = {The operators over the GIFS},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {11-21},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.11099.1542},
abstract = {In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.},
keywords = {Generalized intuitionistic fuzzy sets,intuitionistic fuzzy sets,modal-like operators,level operators},
url = {https://ijnaa.semnan.ac.ir/article_2402.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2402_aa76bd23f45666bcc4956b21e9d4975a.pdf}
}
@article {
author = {Gupta, Vijay and Rassias, Th.M. and Pandey, Ekta},
title = {On genuine Lupa\c{s}-Beta operators and modulus of continuity},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {23-32},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.10557.1508},
abstract = {In the present article we discuss approximation properties of genuine Lupa\c{s}-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.},
keywords = {factorial polynomials,Beta basis function,direct estimates,weighted modulus of continuity,$K$-functionals},
url = {https://ijnaa.semnan.ac.ir/article_2307.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2307_251220725692ce599b98103f8f8d9cb7.pdf}
}
@article {
author = {Ebadian, Ali and Azizi, Saman and Najafzadeh, Shahram},
title = {Stability for certain subclasses of harmonic univalent functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {33-45},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.2405},
abstract = {In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.},
keywords = {Stability of the convolution,Integral convolution,Harmonic univalent,starlike and convex functions},
url = {https://ijnaa.semnan.ac.ir/article_2405.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2405_54526c108d6aa80a97f3ae45556c5eb9.pdf}
}
@article {
author = {Barani, Ali and Malmir, Fatemeh},
title = {Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {47-60},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.483},
abstract = {In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.},
keywords = {Hermite-Hadamard inequality,convex functions on co-ordinates,geometrically quasiconvex functions},
url = {https://ijnaa.semnan.ac.ir/article_483.html},
eprint = {https://ijnaa.semnan.ac.ir/article_483_550a263fc24bc744472c0dbaf671d46c.pdf}
}
@article {
author = {Nouri, Kazem},
title = {Study on efficiency of the Adomian decomposition method for stochastic differential equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {61-68},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.484},
abstract = {Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved. Uniqueness and convergence of their adapted solutions are reviewed. The efficiency of the method is demonstrated through the two numerical experiments.},
keywords = {Stochastic differential equation,stochastic Adomian decomposition method,Ito formula},
url = {https://ijnaa.semnan.ac.ir/article_484.html},
eprint = {https://ijnaa.semnan.ac.ir/article_484_4f610d5f55a6031e073c4611c3719299.pdf}
}
@article {
author = {Elhajaji, Abdelmajid and Barje, Nadia and Serghini, Abdelhafid and Hilal, Khalid and Mermri, El Bekkaye},
title = {A spline collocation method for integrating a class of chemical reactor equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {69-80},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1653.1436},
abstract = {. In this paper, we develop a quadratic spline collocation method for integrating the nonlinear partial differential equations (PDEs) of a plug flow reactor model. The method is proposed in order to be used for the operation of control design and/or numerical simulations. We first present the Crank-Nicolson method to temporally discretize the state variable. Then, we develop and analyze the proposed spline collocation method for the spatial discretization. The design of the collocation method is interpreted as one order error convergent. This scheme is applied on some test examples, the numerical results illustrate the efficiency of the method and confirm the theoretical behavior of the rates of convergence.},
keywords = {Partial differential equations,Distributed parameter systems,Plus flow reactors,Perturbed systems,Spline collocation method},
url = {https://ijnaa.semnan.ac.ir/article_2495.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2495_adb58540af82056f951db7c7fef91870.pdf}
}
@article {
author = {Safi, Mohammad Reza and Ghasemi, Seyyed Mojtaba},
title = {Uncertainty in linear fractional transportation problem},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {81-93},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.504},
abstract = {In this paper, we study the linear fractional transportation problem with uncertain arameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective function with considering chance constrained method for the restrictions is our second approach. In the third approach we add the objective function to the constraints and solve again the problem by chance constrained method. A numerical example is solved by three approaches and their solutions are compaired.},
keywords = {Transportation Problem,Linear Fractional Programming,Un- certain Measure,Uncertain Variable,Uncertain Programming},
url = {https://ijnaa.semnan.ac.ir/article_504.html},
eprint = {https://ijnaa.semnan.ac.ir/article_504_5a23516c8827427da952623d3f103bcb.pdf}
}
@article {
author = {Dhage, Bapurao},
title = {Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {95-112},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.997.1194},
abstract = {In this paper, author proves the algorithms for the existence as well as the approximation of solutions to a couple of periodic boundary value problems of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric space. The main results rely on the Dhage iteration method embodied in the recent hybrid fixed point theorems of Dhage in a partially ordered normed linear space. The approximation of the solutions are obtained under weaker mixed partial continuity and partial Lipschitz conditions. Our hypotheses and abstract results are also illustrated by some numerical examples.},
keywords = {Hybrid differential equation,Hybrid fixed point theorem,Dhage iteration method,Existence and approximation theorems},
url = {https://ijnaa.semnan.ac.ir/article_2349.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2349_b7c0d94e0bbcfba713b9b9348f61bcb3.pdf}
}
@article {
author = {Dinarvand, Mina},
title = {The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {113-122},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.2348},
abstract = {Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in the recent literature.},
keywords = {James type constant,von Neumann-Jordan type constant,Ptolemy constant,Fixed point property,Uniform normal structure},
url = {https://ijnaa.semnan.ac.ir/article_2348.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2348_fc7c782f405f0e55f30d9c0a19a1e90d.pdf}
}
@article {
author = {Hassani, Sara and Mammadov, Musa},
title = {Convergence of trajectories in infinite horizon optimization},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {123-131},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1326.1327},
abstract = {In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.},
keywords = {Infinite horizon optimization,Ideal convergence,statistical convergence},
url = {https://ijnaa.semnan.ac.ir/article_2496.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2496_45dd23662834206d7ecfd588dc09e613.pdf}
}
@article {
author = {Shayanpour, Hamid and Nematizadeh, Asiyeh},
title = {Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {133-157},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1064.1215},
abstract = {In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).},
keywords = {Coupled fixed point,Partially ordered PLM-space (PLqM-space),Mixed monotone property},
url = {https://ijnaa.semnan.ac.ir/article_2350.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2350_7593b3a47ec39cd8354660d43a2a3a78.pdf}
}
@article {
author = {Mihai Bica, Alexandre},
title = {On the metric triangle inequality},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {159-164},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1602.1418},
abstract = {A non-contradictible axiomatic theory is constructed under the local reversibility of the metric triangle inequality. The obtained notion includes the metric spaces as particular cases and the generated metric topology is T$_{1}$-separated and generally, non-Hausdorff.},
keywords = {Generalized metric space,Triangle inequality,Separated topologies,non-Euclidean geometry},
url = {https://ijnaa.semnan.ac.ir/article_2497.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2497_ec86ad0629d277b3dfc9ff8de6b43e4b.pdf}
}
@article {
author = {Jafari, Somaye and Farajzadeh, Ali},
title = {Existence results for equilibrium problems under strong sign property},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {165-176},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.2498},
abstract = {This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some existence results for the relaxed $\mu$-quasimonotone equilibrium problems in the literature.},
keywords = {metric linear space,equilibrium problem,Minty equilibrium problem,strong upper sign property},
url = {https://ijnaa.semnan.ac.ir/article_2498.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdf}
}
@article {
author = {Singh, Surjan and Kumar Sharma, Pawan and Nath Rai, Kavindra and Singh Tomer, Nagendra},
title = {Unsteady free convection oscillatory couette flow through a variable porous medium with concentration profile},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {177-186},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.672.1107},
abstract = {In this paper we have studied the effect of free convection on the heat transfer and flow through variable porous medium which is bounded by two vertical parallel porous plates. In this study it is assume that free stream velocity oscillates with time about a constant mean. Periodic temperature is considered in the moving plate. Effect of different parameters on mean flow velocity, Transient velocity, Concentration profile and transient temperature studied in detail.},
keywords = {Coutte flow,variable porous medium,concentration profile,oscillatory plates},
url = {https://ijnaa.semnan.ac.ir/article_2499.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2499_b3cd9cde6f5d728052f0bfa1991e4bcf.pdf}
}
@article {
author = {Ghasemi Honary, Taher and Omidi, Mashaalah and Sanatpour, AmirHossein},
title = {Almost n-Multiplicative Maps between Frechet Algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {187-195},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.2500},
abstract = {For the Fr\'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n \in \mathbb{N}$, $n\geq 2$, a linear map $T:A \rightarrow B$ is called \textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $\varepsilon\geq 0$ such that$$q_k(Ta_1a_2\cdots a_n-Ta_1Ta_2\cdots Ta_n)\leq \varepsilon p_k(a_1) p_k(a_2)\cdots p_k(a_n),$$for each $k\in \mathbb{N}$ and $a_1, a_2, \ldots, a_n\in A$. The linear map $T$ is called \textit{weakly almost $n$-multiplicative}, if there exists $\varepsilon\geq 0$ such that for every $k\in \mathbb{N}$ there exists $n(k)\in \mathbb{N}$ with$$q_k(Ta_1a_2\cdots a_n-Ta_1Ta_2\cdots Ta_n)\leq \varepsilon p_{n(k)}(a_1) p_{n(k)}(a_2)\cdots p_{n(k)}(a_n),$$for each $k \in \mathbb{N}$ and $a_1, a_2, \ldots, a_n\in A$.The linear map $T$ is called $n$-multiplicative if$$Ta_{1}a_{2} \cdots a_{n} = Ta_{1} Ta_{2} \cdots Ta_{n},$$for every $a_{1}, a_{2},\ldots, a_{n} \in A$.In this paper, we investigate automatic continuity of (weakly) almost $n$-multiplicative maps between certain classes of Fr\'{e}chet algebras, including Banach algebras. We show that if $(A, (p_k))$ is a Fr\'{e}chet algebra and $T: A \rightarrow \mathbb{C}$ is a weakly almost $n$-multiplicative linear functional, then either $T$ is $n$-multiplicative, or it is continuous. Moreover, if $(A, (p_k))$ and $(B, (q_k))$ are Fr\'{e}chet algebras and $T:A \rightarrow B$ is a continuous linear map, then under certain conditions $T$ is weakly almost $n$-multiplicative for each $n\geq 2$. In particular, every continuous linear functional on $A$ is weakly almost $n$-multiplicative for each $n\geq 2$.},
keywords = {multiplicative maps (homomorphisms),Almost multiplicative maps,automatic continuity,Frechet algebras,Banach algebras},
url = {https://ijnaa.semnan.ac.ir/article_2500.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2500_05334ad00015c7183c16bcaeeaa21ae5.pdf}
}
@article {
author = {Ozer, Ozen and Khammash, Ahmed},
title = {On the real quadratic fields with certain continued fraction expansions and fundamental units},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {197-208},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1610.1420},
abstract = {The purpose of this paper is to investigate the real quadratic number fields $Q(\sqrt{d})$ which contain the specific form of the continued fractions expansions of integral basis element where $d\equiv 2,3( mod 4)$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit$$\epsilon _{d}=\left(t_d+u_d\sqrt{d}\right)\ 2\left.\right > 1$$and $n_d$ and $m_d$ Yokoi's $d$-invariants by reference to continued fraction expansion of integral basis element where $\ell \left({d}\right)$ is a period length. Moreover, we mention class number for such fields. Also, we give some numerical results concluded in the tables.},
keywords = {Quadratic Field,Fundamental Unit,Continued Fraction Expansion,Class Number},
url = {https://ijnaa.semnan.ac.ir/article_2570.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2570_f031084ca84601432b4d0a9b9ec8e67d.pdf}
}
@article {
author = {Monfared, Hossein and Azhini, Mahdi and Asadi, Mehdi},
title = {$C$-class and $F(\psi,\varphi)$-contractions on $M$-metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {209-224},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1636.1429},
abstract = {Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {\it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(\psi,\varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $\mathcal{C}$ in the setting of $M$-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.},
keywords = {Fixed point,Partial metric space,$M$-metric space},
url = {https://ijnaa.semnan.ac.ir/article_2502.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdf}
}
@article {
author = {Yesilce, Ilknur and Adilov, Gabil},
title = {Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {225-233},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1621.1427},
abstract = {Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions are proven.},
keywords = {Hermite-Hadamard inequality,$\mathbb{B}$-convex functions,$\mathbb{B}^{-1}$-convex functions,abstract convexity},
url = {https://ijnaa.semnan.ac.ir/article_2503.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2503_47aad633f8dde9d4ebbec7a4f5100c63.pdf}
}
@article {
author = {Kargar, Rahim and Ebadian, Ali and Sokol, Janusz},
title = {Some properties of analytic functions related with bounded positive real part},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {235-244},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1154.1308},
abstract = {In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.},
keywords = {starlike function,duality,Hadamard product,subordination,neighborhood},
url = {https://ijnaa.semnan.ac.ir/article_2397.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2397_5dc76a49635a49e0934c56bd1d62a67c.pdf}
}
@article {
author = {Saluja, G.S. and Nashine, Hemant Kumar and Singh, Yumnam Rohen},
title = {Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {245-260},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.2504},
abstract = {In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $\Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature generalize, unify and extend.},
keywords = {total asymptotically nonexpansive mapping,$Delta$-convergence,strong convergence,Noor iteration process,CAT(0) space},
url = {https://ijnaa.semnan.ac.ir/article_2504.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2504_4f42776057d80c7ee758a87c0e9d7781.pdf}
}
@article {
author = {Nasiri, Leila and Shakoori, Mahmood and Liao, Wenshi},
title = {A note on the Young type inequalities},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {261-267},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1231.1289},
abstract = {In this paper, we present some refinements of the famous Young type inequality. As application of our result, we obtain some matrix inequalities for the Hilbert-Schmidt norm and the trace norm. The results obtained in this paper can be viewed as refinement of the derived results by H. Kai [Young type inequalities for matrices, J. East China Norm. Univ. 4 (2012) 12--17].},
keywords = {Young inequality,Hilbert-Schmidt norm,Positive semidefinite matrices,Refinements},
url = {https://ijnaa.semnan.ac.ir/article_2506.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2506_a808c7d7d539b34d6ab843f781924432.pdf}
}
@article {
author = {Bnouhachem, Abdellah and Rassias, Th.M.},
title = {An inexact alternating direction method with SQP regularization for the structured variational inequalities},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {269-289},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1860.1485},
abstract = {In this paper, we propose an inexact alternating direction method with square quadratic proximal (SQP) regularization for the structured variational inequalities. The predictor is obtained via solving SQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriate conditions, the global convergence of the proposed method is proved. We show the $O(1/t)$ convergence rate for the inexact SQP alternating direction method. We also reported some numerical results to illustrate the efficiency of the proposed method.},
keywords = {Variational inequalities,monotone operator,square quadratic proximal method,logarithmic-quadratic proximal method,alternating direction method},
url = {https://ijnaa.semnan.ac.ir/article_2509.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2509_9008cf901d3dc9e7ee50dae1dfcd52d0.pdf}
}
@article {
author = {Tavakoli Targhi, Alireza},
title = {Similarity measurement for describe user images in social media},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {291-299},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.10744.1522},
abstract = {Online social networks like Instagram are places for communication. Also, these media produce rich metadata which are useful for further analysis in many fields including health and cognitive science. Many researchers are using these metadata like hashtags, images, etc. to detect patterns of user activities. However, there are several serious ambiguities like how much reliable are these information. In this paper, we attempt to answer two main questions. Firstly, are image hashtags directly related to image concepts? Can image concepts being predicted using machine learning models? The results of our analysis based on 105000 images on Instagram show that user hashtags are hardly related to image concepts (only 10\%of test cases). Second contribution of this paper is showing the suggested pre-trained model predicate image concepts much better (more than 50\% of test cases) than user hashtags. Therefore, it is strongly recommended to social media researchers not to rely only on the user hashtags as a label of images or as a signal of information for their study. Alternatively, they can use machine learning methods line deep convolutional neural network model to describe images to extract more related contents. As a proof of concept, some results on food images are studied. We use few similarity measurements to compare result of human and deep convolutional neural network. These analysis is important because food is an important society health field.},
keywords = {Similarity Measurement Web mining,Health Topics,Computer vision,Machine Learning Models},
url = {https://ijnaa.semnan.ac.ir/article_2510.html},
eprint = {}
}
@article {
author = {Melliani, Said and Chadli, Lalla Saadia and El Allaoui, Abdelati},
title = {Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {301-314},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1460.1370},
abstract = {This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.},
keywords = {impulsive evolution equations,Periodic boundary value problems,Control,Mild solutions},
url = {https://ijnaa.semnan.ac.ir/article_2511.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2511_9c928d75339bfb53c6c6d7d33589f99b.pdf}
}
@article {
author = {Ansari, Arsalan and Razani, Abdolrahman and Hussain, Nawab},
title = {Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {315-329},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.453},
abstract = {In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.},
keywords = {Fixed point,Coincidence point,ordered $b$-metric space},
url = {https://ijnaa.semnan.ac.ir/article_453.html},
eprint = {https://ijnaa.semnan.ac.ir/article_453_1af16f96e2bd98fc07f75a2ba92620bb.pdf}
}
@article {
author = {Meftah, Badreddine},
title = {New integral inequalities for $s$-preinvex functions},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {331-336},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.3084.1498},
abstract = {In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi$$\underset{a}{\overset{a+\eta \left( b,a\right) }{\int }}\left( x-a\right)^{p}\left( a+\eta \left( b,a\right) -x\right) ^{q}f\left( x\right) dx$$in the cases where $f$ and $\left| f\right| ^{\lambda }$ for $\lambda >1$, are $s$-preinvex functions in the second sense.},
keywords = {Integral inequality,$s$-preinvex function,H"{o}lder inequality,power mean inequality},
url = {https://ijnaa.semnan.ac.ir/article_2513.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2513_0bf0cb71a40e7530f29390a2af97814d.pdf}
}
@article {
author = {Allahyari, Reza and Aghajani, Asadollah},
title = {Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {337-351},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1355.1334},
abstract = {In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the efficiency of our result.},
keywords = {Measure of noncompactness,Quadratic integral equation,Darbo fixed point theorem},
url = {https://ijnaa.semnan.ac.ir/article_2516.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf}
}
@article {
author = {Alecsa, Cristian},
title = {On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {353-388},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.11144.1543},
abstract = {In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.},
keywords = {convex metric space,Fixed point,iterative algorithm,rate of convergence,convex combination},
url = {https://ijnaa.semnan.ac.ir/article_2523.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2523_4466d793e9cc175859682633bda03bb0.pdf}
}
@article {
author = {Mayghani, Maliheh and Alimohammadi, Davood},
title = {The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {8},
number = {1},
pages = {389-404},
year = {2017},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2016.493},
abstract = {Let $(X,d)$ be a compactmetric space and let $K$ be a nonempty compact subset of $X$. Let $\alpha \in (0, 1]$ and let ${\rm Lip}(X,K,d^ \alpha)$ denote the Banach algebra of all continuous complex-valued functions $f$ on$X$ for which$$p_{(K,d^\alpha)}(f)=\sup\{\frac{|f(x)-f(y)|}{d^\alpha(x,y)} : x,y\in K , x\neq y\}<\infty$$when it is equipped with the algebra norm $||f||_{{\rm Lip}(X, K, d^ {\alpha})}= ||f||_X+ p_{(K,d^{\alpha})}(f)$, where $||f||_X=\sup\{|f(x)|:~x\in X \}$. In this paper we first study the structure of certain ideals of ${\rm Lip}(X,K,d^\alpha)$. Next we show that if $K$ is infinite and ${\rm int}(K)$ contains a limit point of $K$ then ${\rm Lip}(X,K,d^\alpha)$ has at least a nonzero continuous point derivation and applying this fact we prove that ${\rm Lip}(X,K,d^\alpha)$ is not weakly amenable and amenable.},
keywords = {Amenability,Banach function algebra,extended Lipschitz algebra,point derivation,weak amenability},
url = {https://ijnaa.semnan.ac.ir/article_493.html},
eprint = {https://ijnaa.semnan.ac.ir/article_493_c33ba9a36bbd03e49c6d1e1671e3f46e.pdf}
}