Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 Quadratic \$alpha\$-functional equations 1 9 2351 10.22075/ijnaa.2017.1066.1218 EN Choonkil Park Research nstitute for natural sciences, Hanyang University Seoul 04763, Korea Sang Og Kim Department of Mathematics Hallym University Chuncheon 24252 Korea Journal Article 2015 12 18 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. http://ijnaa.semnan.ac.ir/article_2351_0cc225d42285c772edd3782614976e89.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 The operators over the GIFS 11 21 2402 10.22075/ijnaa.2017.11099.1542 EN Ezzatallah Baloui Jamkhaneh Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran Journal Article 2016 02 22 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. http://ijnaa.semnan.ac.ir/article_2402_aa76bd23f45666bcc4956b21e9d4975a.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 30 On genuine Lupac{s}-Beta operators and modulus of continuity 23 32 2307 10.22075/ijnaa.2017.10557.1508 EN Vijay Gupta Netaji Subhas Institute of Technology New Delhi, India Th.M. Rassias Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece Ekta Pandey Department of Mathematics, IMS Engineering College Ghaziabad-201009, (UP), India Journal Article 2016 04 14 In the present article we discuss approximation properties of genuine Lupac{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. http://ijnaa.semnan.ac.ir/article_2307_251220725692ce599b98103f8f8d9cb7.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 05 05 Stability for certain subclasses of harmonic univalent functions 33 45 2405 10.22075/ijnaa.2017.2405 EN Ali Ebadian Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran Saman Azizi Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran Shahram Najafzadeh Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran Journal Article 2016 01 12 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. http://ijnaa.semnan.ac.ir/article_2405_54526c108d6aa80a97f3ae45556c5eb9.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates 47 60 483 10.22075/ijnaa.2016.483 EN Ali Barani Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran Fatemeh Malmir Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran Journal Article 2015 04 27 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. http://ijnaa.semnan.ac.ir/article_483_550a263fc24bc744472c0dbaf671d46c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 Study on efficiency of the Adomian decomposition method for stochastic differential equations 61 68 484 10.22075/ijnaa.2016.484 EN Kazem Nouri Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran Journal Article 2015 03 11 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. http://ijnaa.semnan.ac.ir/article_484_4f610d5f55a6031e073c4611c3719299.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 05 A spline collocation method for integrating a class of chemical reactor equations 69 80 2495 10.22075/ijnaa.2017.1653.1436 EN Abdelmajid Elhajaji ENCG El Jadida Nadia Barje LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco Abdelhafid Serghini MATSI Laboratory, ESTO, University Mohammed Premier, Oujda, Morocco Khalid Hilal LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco El Bekkaye Mermri Department of Mathematics and Computer Science, FS, University Mohammed Premier, Oujda, Morocco Journal Article 2016 10 10 . 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. http://ijnaa.semnan.ac.ir/article_2495_adb58540af82056f951db7c7fef91870.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 10 Uncertainty in linear fractional transportation problem 81 93 504 10.22075/ijnaa.2016.504 EN Mohammad Reza Safi Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran Seyyed Mojtaba Ghasemi Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran Journal Article 2015 12 28 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. http://ijnaa.semnan.ac.ir/article_504_5a23516c8827427da952623d3f103bcb.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 05 Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations 95 112 2349 10.22075/ijnaa.2017.997.1194 EN Bapurao Dhage Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India Journal Article 2015 11 13 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. http://ijnaa.semnan.ac.ir/article_2349_b7c0d94e0bbcfba713b9b9348f61bcb3.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 05 The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces 113 122 2348 10.22075/ijnaa.2017.2348 EN Mina Dinarvand Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran Journal Article 2015 03 16 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. http://ijnaa.semnan.ac.ir/article_2348_fc7c782f405f0e55f30d9c0a19a1e90d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 06 Convergence of trajectories in infinite horizon optimization 123 131 2496 10.22075/ijnaa.2017.1326.1327 EN Sara Hassani Federation university of Australia Musa Mammadov Federation university of Australia Journal Article 2016 04 14 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. http://ijnaa.semnan.ac.ir/article_2496_45dd23662834206d7ecfd588dc09e613.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces 133 157 2350 10.22075/ijnaa.2017.1064.1215 EN Hamid Shayanpour Faculty of Mathematical Sciences, Department of Pure Mathematics, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran. Asiyeh Nematizadeh Faculty of Mathematical Sciences, Department of Pure Mathematics, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran. Journal Article 2015 12 17 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). http://ijnaa.semnan.ac.ir/article_2350_7593b3a47ec39cd8354660d43a2a3a78.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 On the metric triangle inequality 159 164 2497 10.22075/ijnaa.2017.1602.1418 EN Alexandre Mihai Bica Department of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, Romania Journal Article 2016 09 14 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. http://ijnaa.semnan.ac.ir/article_2497_ec86ad0629d277b3dfc9ff8de6b43e4b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 Existence results for equilibrium problems under strong sign property 165 176 2498 10.22075/ijnaa.2017.2498 EN Somaye Jafari Department of Mathematics, Razi University, Kermanshah Ali Farajzadeh Department of Mathematics, Razi University, Kermanshah Journal Article 2015 07 04 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. http://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 06 Unsteady free convection oscillatory couette flow through a variable porous medium with concentration profile 177 186 2499 10.22075/ijnaa.2017.672.1107 EN Surjan Singh DST-CIMS BHU Varanasi Pawan Kumar Sharma Amity School Of Engineering And Technology, 580, Delhi Palam Vihar Road, Bijwasan, New Delhi 110061, India Kavindra Nath Rai IIT BHU, Varanasi Nagendra Singh Tomer Government College Hisar Haryana Journal Article 2015 01 16 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. http://ijnaa.semnan.ac.ir/article_2499_b3cd9cde6f5d728052f0bfa1991e4bcf.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 06 Almost n-Multiplicative Maps‎ between‎ ‎Frechet Algebras 187 195 2500 10.22075/ijnaa.2017.2500 EN Taher Ghasemi Honary Department of Mathematics, Kharazmi University, Tehran, Iran Mashaalah Omidi Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran AmirHossein Sanatpour Department of Mathematics, Kharazmi University, Tehran, Iran Journal Article 2016 05 22 For the Fr'{e}chet algebras \$(A, (p_k))\$ and \$(B, (q_k))\$ and \$n in mathbb{N}\$, \$ngeq 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 \$varepsilongeq 0\$ such that<br />\$\$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),\$\$<br />for each \$kin mathbb{N}\$ and \$a_1, a_2, ldots, a_nin A\$. The linear map \$T\$ is called textit{weakly almost \$n\$-multiplicative}, if there exists \$varepsilongeq 0\$ such that for every \$kin mathbb{N}\$ there exists \$n(k)in mathbb{N}\$ with<br />\$\$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_{n(k)}(a_1) p_{n(k)}(a_2)cdots p_{n(k)}(a_n),\$\$<br />for each \$k in mathbb{N}\$ and \$a_1, a_2, ldots, a_nin A\$.<br />The linear map \$T\$ is called \$n\$-multiplicative if<br />\$\$Ta_{1}a_{2} cdots a_{n} = Ta_{1} Ta_{2} cdots Ta_{n},\$\$<br />for every \$a_{1}, a_{2},ldots, a_{n} in A\$.<br /><br />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 \$ngeq 2\$. In particular, every continuous linear functional on \$A\$ is weakly almost \$n\$-multiplicative for each \$ngeq 2\$. http://ijnaa.semnan.ac.ir/article_2500_05334ad00015c7183c16bcaeeaa21ae5.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 24 On the real quadratic fields with certain continued fraction expansions and fundamental units 197 208 2570 10.22075/ijnaa.2017.1610.1420 EN Ozen Ozer Department of Mathematics, Faculty of Science and Arts, Ki rklareli University, 39000-Ki rklareli, Turkey Ahmed Khammash Department of Mathematics, Al-Qura University, Makkah,21955, Saudi Arabia Journal Article 2016 09 17 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 \$dequiv 2,3( mod  4)\$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit<br />\$\$epsilon _{d}=left(t_d+u_dsqrt{d}right) 2left.right > 1\$\$<br />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. http://ijnaa.semnan.ac.ir/article_2570_f031084ca84601432b4d0a9b9ec8e67d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 06 \$C\$-class and \$F(psi,varphi)\$-contractions on \$M\$-metric spaces 209 224 2502 10.22075/ijnaa.2017.1636.1429 EN Hossein Monfared Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran Mahdi Azhini Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran Mehdi Asadi Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran Journal Article 2016 09 28 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. http://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 Hermite-Hadamard inequalities for \$mathbb{B}\$-convex and \$mathbb{B}^{-1}\$-convex functions 225 233 2503 10.22075/ijnaa.2017.1621.1427 EN Ilknur Yesilce Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey Gabil Adilov Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey Journal Article 2016 09 26 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. http://ijnaa.semnan.ac.ir/article_2503_47aad633f8dde9d4ebbec7a4f5100c63.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 07 Some properties of analytic functions related with bounded positive real part 235 244 2397 10.22075/ijnaa.2017.1154.1308 EN Rahim Kargar Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran Ali Ebadian Department of Mathematics, Payame Noor University, Iran Janusz Sokol Department of Mathematics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland Journal Article 2016 03 14 In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered. http://ijnaa.semnan.ac.ir/article_2397_5dc76a49635a49e0934c56bd1d62a67c.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 08 Strong and \$Delta\$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) 245 260 2504 10.22075/ijnaa.2017.2504 EN G.S. Saluja Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India Hemant Kumar Nashine Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA 0000-0002-0250-9172 Yumnam Rohen Singh National Institute of Technology Manipur, Takyelpat, Imphal-795001, Manipur, India Journal Article 2015 07 25 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. http://ijnaa.semnan.ac.ir/article_2504_4f42776057d80c7ee758a87c0e9d7781.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 11 A note on the Young type inequalities 261 267 2506 10.22075/ijnaa.2017.1231.1289 EN Leila Nasiri Department Mathematics, Lorestan University, Iran Mahmood Shakoori Department Mathematics, Lorestan University, Iran Wenshi Liao College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China Journal Article 2016 02 24 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]. http://ijnaa.semnan.ac.ir/article_2506_a808c7d7d539b34d6ab843f781924432.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 An inexact alternating direction method with SQP regularization for the structured variational inequalities 269 289 2509 10.22075/ijnaa.2017.1860.1485 EN Abdellah Bnouhachem Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco Th.M. Rassias Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece Journal Article 2016 11 10 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. http://ijnaa.semnan.ac.ir/article_2509_9008cf901d3dc9e7ee50dae1dfcd52d0.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 12 Similarity measurement for describe user images in social media 291 299 2510 10.22075/ijnaa.2017.10744.1522 EN Alireza Tavakoli Targhi CS group of Mathematics department, Shahid Beheshti University, Tehran, Iran Journal Article 2016 02 13 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.
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 12 Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces 301 314 2511 10.22075/ijnaa.2017.1460.1370 EN Said Melliani Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco Lalla Saadia Chadli Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco Abdelati El Allaoui Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco 0000-0001-7197-4951 Journal Article 2016 06 19 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. http://ijnaa.semnan.ac.ir/article_2511_9c928d75339bfb53c6c6d7d33589f99b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 12 Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered \$b\$-metric spaces 315 329 453 10.22075/ijnaa.2016.453 EN Arsalan Ansari Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran Abdolrahman Razani Department of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 34149-16818, Qazvin, Iran Nawab Hussain Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Journal Article 2015 11 05 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. http://ijnaa.semnan.ac.ir/article_453_1af16f96e2bd98fc07f75a2ba92620bb.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 13 New integral inequalities for \$s\$-preinvex functions 331 336 2513 10.22075/ijnaa.2017.3084.1498 EN Badreddine Meftah Laboratoire des t\&#039;{e}l\&#039;{e}communications, Facult\&#039;{e} des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria Journal Article 2017 01 25 In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi<br />\$\$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx\$\$<br />in the cases where \$f\$ and \$left| fright| ^{lambda }\$ for \$lambda >1\$, are \$s\$-preinvex functions in the second sense. http://ijnaa.semnan.ac.ir/article_2513_0bf0cb71a40e7530f29390a2af97814d.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 13 Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type 337 351 2516 10.22075/ijnaa.2017.1355.1334 EN Reza Allahyari Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran Asadollah Aghajani School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran Journal Article 2016 04 25 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. http://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 06 13 On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces 353 388 2523 10.22075/ijnaa.2017.11144.1543 EN Cristian Alecsa Babe\c s-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania Journal Article 2017 04 25 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. http://ijnaa.semnan.ac.ir/article_2523_4466d793e9cc175859682633bda03bb0.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 8 1 2017 04 01 The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras 389 404 493 10.22075/ijnaa.2016.493 EN Maliheh Mayghani Department of Mathematics, Payame Noor University, Tehran, 19359-3697, Iran Davood Alimohammadi Department of Mathematics, Faculty of Science, Arak University, Arak, Iran Journal Article 2016 03 17 Let \$(X,d)\$ be a compact<br />metric 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<br />\$X\$ for which<br />\$\$p_{(K,d^alpha)}(f)=sup{frac{|f(x)-f(y)|}{d^alpha(x,y)} : x,yin K , xneq y}<infty\$\$<br />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)|:~xin 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. http://ijnaa.semnan.ac.ir/article_493_c33ba9a36bbd03e49c6d1e1671e3f46e.pdf