@Article{Park2017,
author="Park, Choonkil
and Kim, Sang Og",
title="Quadratic $alpha$-functional equations",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="1-9",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1066.1218",
url="http://ijnaa.semnan.ac.ir/article_2351.html"
}
@Article{BalouiJamkhaneh2017,
author="Baloui Jamkhaneh, Ezzatallah",
title="The operators over the GIFS",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="11-21",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.11099.1542",
url="http://ijnaa.semnan.ac.ir/article_2402.html"
}
@Article{Gupta2017,
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",
year="2017",
volume="8",
number="1",
pages="23-32",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.10557.1508",
url="http://ijnaa.semnan.ac.ir/article_2307.html"
}
@Article{Ebadian2017,
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",
year="2017",
volume="8",
number="1",
pages="33-45",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.2405",
url="http://ijnaa.semnan.ac.ir/article_2405.html"
}
@Article{Barani2017,
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",
year="2017",
volume="8",
number="1",
pages="47-60",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2016.483",
url="http://ijnaa.semnan.ac.ir/article_483.html"
}
@Article{Nouri2017,
author="Nouri, Kazem",
title="Study on efficiency of the Adomian decomposition method for stochastic differential equations",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="61-68",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2016.484",
url="http://ijnaa.semnan.ac.ir/article_484.html"
}
@Article{Elhajaji2017,
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",
year="2017",
volume="8",
number="1",
pages="69-80",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1653.1436",
url="http://ijnaa.semnan.ac.ir/article_2495.html"
}
@Article{Safi2017,
author="Safi, Mohammad Reza
and Ghasemi, Seyyed Mojtaba",
title="Uncertainty in linear fractional transportation problem",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="81-93",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2016.504",
url="http://ijnaa.semnan.ac.ir/article_504.html"
}
@Article{Dhage2017,
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",
year="2017",
volume="8",
number="1",
pages="95-112",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.997.1194",
url="http://ijnaa.semnan.ac.ir/article_2349.html"
}
@Article{Dinarvand2017,
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",
year="2017",
volume="8",
number="1",
pages="113-122",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.2348",
url="http://ijnaa.semnan.ac.ir/article_2348.html"
}
@Article{Hassani2017,
author="Hassani, Sara
and Mammadov, Musa",
title="Convergence of trajectories in infinite horizon optimization",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="123-131",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1326.1327",
url="http://ijnaa.semnan.ac.ir/article_2496.html"
}
@Article{Shayanpour2017,
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",
year="2017",
volume="8",
number="1",
pages="133-157",
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).",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1064.1215",
url="http://ijnaa.semnan.ac.ir/article_2350.html"
}
@Article{MihaiBica2017,
author="Mihai Bica, Alexandre",
title="On the metric triangle inequality",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="159-164",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1602.1418",
url="http://ijnaa.semnan.ac.ir/article_2497.html"
}
@Article{Jafari2017,
author="Jafari, Somaye
and Farajzadeh, Ali",
title="Existence results for equilibrium problems under strong sign property",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="165-176",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.2498",
url="http://ijnaa.semnan.ac.ir/article_2498.html"
}
@Article{Singh2017,
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",
year="2017",
volume="8",
number="1",
pages="177-186",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.672.1107",
url="http://ijnaa.semnan.ac.ir/article_2499.html"
}
@Article{GhasemiHonary2017,
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",
year="2017",
volume="8",
number="1",
pages="187-195",
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 $n\geq 2$.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.2500",
url="http://ijnaa.semnan.ac.ir/article_2500.html"
}
@Article{Ozer2017,
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",
year="2017",
volume="8",
number="1",
pages="197-208",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1610.1420",
url="http://ijnaa.semnan.ac.ir/article_2570.html"
}
@Article{Monfared2017,
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",
year="2017",
volume="8",
number="1",
pages="209-224",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1636.1429",
url="http://ijnaa.semnan.ac.ir/article_2502.html"
}
@Article{Yesilce2017,
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",
year="2017",
volume="8",
number="1",
pages="225-233",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1621.1427",
url="http://ijnaa.semnan.ac.ir/article_2503.html"
}
@Article{Kargar2017,
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",
year="2017",
volume="8",
number="1",
pages="235-244",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1154.1308",
url="http://ijnaa.semnan.ac.ir/article_2397.html"
}
@Article{Saluja2017,
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",
year="2017",
volume="8",
number="1",
pages="245-260",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.2504",
url="http://ijnaa.semnan.ac.ir/article_2504.html"
}
@Article{Nasiri2017,
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",
year="2017",
volume="8",
number="1",
pages="261-267",
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].",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1231.1289",
url="http://ijnaa.semnan.ac.ir/article_2506.html"
}
@Article{Bnouhachem2017,
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",
year="2017",
volume="8",
number="1",
pages="269-289",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1860.1485",
url="http://ijnaa.semnan.ac.ir/article_2509.html"
}
@Article{TavakoliTarghi2017,
author="Tavakoli Targhi, Alireza",
title="Similarity measurement for describe user images in social media",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="291-299",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.10744.1522",
url="http://ijnaa.semnan.ac.ir/article_2510.html"
}
@Article{Melliani2017,
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",
year="2017",
volume="8",
number="1",
pages="301-314",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1460.1370",
url="http://ijnaa.semnan.ac.ir/article_2511.html"
}
@Article{Ansari2017,
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",
year="2017",
volume="8",
number="1",
pages="315-329",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2016.453",
url="http://ijnaa.semnan.ac.ir/article_453.html"
}
@Article{Meftah2017,
author="Meftah, Badreddine",
title="New integral inequalities for $s$-preinvex functions",
journal="International Journal of Nonlinear Analysis and Applications",
year="2017",
volume="8",
number="1",
pages="331-336",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.3084.1498",
url="http://ijnaa.semnan.ac.ir/article_2513.html"
}
@Article{Allahyari2017,
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",
year="2017",
volume="8",
number="1",
pages="337-351",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.1355.1334",
url="http://ijnaa.semnan.ac.ir/article_2516.html"
}
@Article{Alecsa2017,
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",
year="2017",
volume="8",
number="1",
pages="353-388",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2017.11144.1543",
url="http://ijnaa.semnan.ac.ir/article_2523.html"
}
@Article{Mayghani2017,
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",
year="2017",
volume="8",
number="1",
pages="389-404",
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.",
issn="2008-6822",
doi="10.22075/ijnaa.2016.493",
url="http://ijnaa.semnan.ac.ir/article_493.html"
}