Journal of Nonlinear Analysis and Optimization: Theory & Applications
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao
<p><strong>Journal of Nonlinear Analysis and Optimization: Theory & Applications</strong> is a peer-reviewed, open access international journal, that devotes to the publication of original articles of current interest in every theoretical, computational and applicational aspect of nonlinear analysis, convex analysis, fixed point theory and optimization techniques and their applications to science and engineering. All manuscripts are refereed under the same standards as those used by the finest-quality printed mathematical journals. Accepted papers will be published in two issues annually in March and September, free of charge.</p><p><span style="font-family: Arial; font-size: x-small;"><span style="font-family: Arial,sans-serif; color: #000000; font-size: x-small;"><span style="font-size: 10pt;"><strong>Reviewing/Indexing:</strong></span></span><span style="font-family: Arial,sans-serif; color: #000000; font-size: x-small;"><span style="font-size: 10pt;"> Papers appearing in JNAO will be reviewed/indexed in <strong>Zentralblatt MATH; <strong>MathSciNet; <strong>Mathematical Reviews; <strong>Google Scholar; <strong>CrossRef.; Directory of Open Access Journals (DOAJ).</strong></strong></strong></strong></strong></span></span></span><span style="font-family: Arial; font-size: x-small;"><span style="font-family: Arial,sans-serif; color: #000000; font-size: x-small;"><span style="font-size: 10pt;"> </span></span></span></p>en-USAuthors who publish with this journal agree to the following terms:<br /><ol type="a"><br /><li>Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a <a href="http://creativecommons.org/licenses/by/3.0/" target="_new"><span style="color: #337755;">Creative Commons Attribution License</span></a> that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.</li><br /><li>Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.</li><br /><li>Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See <a href="http://opcit.eprints.org/oacitation-biblio.html" target="_new"><span style="color: #337755;">The Effect of Open Access</span></a>).</li><br /></ol><br /><br />narinp@nu.ac.th (Narin Petrot)wuttipongr@nu.ac.th (Wuttipong Ruanthong)Tue, 27 Dec 2016 00:00:00 SE Asia Standard TimeOJS 2.3.6.0http://blogs.law.harvard.edu/tech/rss60Duality for a nondifferentiable multiobjective higher-order symmetric fractional programming problems with cone constraints
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/418
In this paper, a pair of nondierentiable multiobjective higher-order symmetric fractional dual problem with cone constraints<br />is formulated. For a dierentiable function, we introduce the definition of higher-order (C,alpha,rho,d)-convexity. Next, we prove appropriate duality relations under aforesaid assumptions.S. K. Gupta, Ramu Dubeyhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/418Fri, 23 Dec 2016 15:04:49 SE Asia Standard TimeOn The Convergence Of An Iteration Process For Totally Asymptotically I-Nonexpansive Mappings
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/403
Birol GUNDUZ, Sezgin AKBULUThttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/403Tue, 20 Dec 2016 17:39:08 SE Asia Standard TimeSTRONG CONVERGENCE OF FINITE FAMILY OF PSEUDOCONTRACTIVE MAPPINGS BY A NEW IMPLICIT ITERATION
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/169
<span style="font-family: CMR9; font-size: xx-small;"><span style="font-family: CMR9; font-size: xx-small;"><p>In this paper, we propose Mann-Kirk type implicit iteration for nite family of pseudocontractive mappings, and prove strong convergence of proposed iteration to a common xed point in Banach spaces. The results in the paper extend and generalize well known corresponding results.</p></span></span>BALWANT SINGH THAKUR, Mohammad Saeed Khanhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/169Tue, 20 Dec 2016 17:40:48 SE Asia Standard Timeq-Hyperconvexity in Quasi-Cone Metric Spaces and Fixed Point Theorems.
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/377
In this article, we introduce the concept of a q-hyperconvexity for<br />quasi-cone metric spaces and generalise some xed point theorems that<br />we take from [3] and [5]. Mainly, we give some xed point results for<br />a pair of maps of Jungck type. Moreover we prove that quasi-cone<br />metric spaces are topological spaces and we give a characterization of<br />bounded set in such spaces.<br /><br />Ulrich Yae Gabahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/377Tue, 20 Dec 2016 17:53:18 SE Asia Standard TimeCommon solutions to some systems of vector equilibrium problems and common xed point problems in Banach space
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/436
In this paper, we study some properties of set of solutions of a new gen-eralized mixed vector equilibrium problem in Banach space. Further, we introduce aniterative method based on hybrid method and convex approximation method for nd-ing a common element to the set of solutions of a system of unrelated generalized mixedvector equilibrium problems and the set of solutions of common xed point problemsfor the two families of generalized asymptotically quasi -nonexpansive mappings inBanach space. Furthermore, we obtain a strong convergence theorem for the sequencesgenerated by the proposed iterative scheme. Finally, we derive some consequences fromour main result. The results presented in this paper extended and unify many of thepreviously known results in this area.Mohammad Farid, Kaleem Raza Kazmihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/436Mon, 26 Dec 2016 11:20:04 SE Asia Standard TimeFixed point theorems for fundamentally nonexpansive mappings in CAT(k) spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/401
<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>In this paper, we obtain fixed point theorems and ???</span><span>???</span><span>convergence theorems for fundamentally nonexpansive mappings on CAT(</span><span>k</span><span>) spaces with </span><span>k > </span><span>0. Our results extend and improve some results of Salahifard et al. [</span><span>3</span><span>], and many others. </span></p></div></div></div>Bancha Nanjarashttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/401Fri, 23 Dec 2016 14:53:51 SE Asia Standard TimeCoupled fixed points in partially ordered metric spaces by samet$^{,}$s method and application
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/296
<p>???In 2006???, ???Bhaskar and Lakshmikantham proved a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order???, ???using a weak contractivity type of assumption???. ???Recently Luong and Thuan proved some results of coupled fixed point that generalized main results of them???. ???In this paper???, ???By using the samet$^{,}$s method and by using different conditions we prove some coupled fixed point theorems for mapping having mixed monotone property in partially ordered metric space???. ???Also by considering the results of Berinde and Burcut and using the main idea of Samet and Vetro extend the concept of $\alpha-$admissibility for tripled fixed point theorems in metric spaces???. ???As an application???, ???we discuss the existence and solution of a nonlinear integral equation???.</p>Hojjat Afsharihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/296Fri, 23 Dec 2016 14:10:45 SE Asia Standard TimeOn a New System of Nonlinear RegularizedNonconvex Variational Inequalities in Hilbertspaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/427
<p>??</p><p>??</p><p>The aim of this work is to suggest a new system of nonlinear regularized nonconvexvariational inequalities in a real Hilbert spaces and established an equivalence relationbetween this system and xed point problems. By using the equivalence relation weconstruct a new perturbed projection iterative algorithms with mixed errors for ndinga solution set of system of nonlinear regularized nonconvex variational inequalities. Alsoproved the convergence of the suggested iterative sequences generated by the algorithm.</p>Salahuddin ., Prapairat Junlouchai1,, Somyot Plubtienghttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/427Fri, 23 Dec 2016 14:09:21 SE Asia Standard TimeDuality results for second-order multiobjective programming problem
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/457
ARVIND KUMAR, PANKAJ KUMAR GARGhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/457Mon, 26 Dec 2016 11:41:50 SE Asia Standard TimeModelling human peripheral tissue temperature based on numerical computation of non-linear boundary value problem
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/237
<span style="font-family: Times New Roman; font-size: small;"> </span><div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>A mathematical model has been established to analyse the changes in the tissue temperature of the human peripheral regions with respect to varying physiological conditions. The formulation is based on a parabolic heat equation with variable physiological parameters. The solution has been established using finite difference scheme and the simulation was done with the help of MATLAB software. It has been observed that the results have shown a considerable effect on temperature profiles due to variable physio- logical parameters. </span></p></div></div></div><p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: justify; line-height: 150%; text-autospace: ideograph-numeric; mso-pagination: none; punctuation-wrap: simple;">??</p><span style="font-family: Times New Roman; font-size: small;"> </span>Mukhtar Ah Khandayhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/237Tue, 20 Dec 2016 16:26:40 SE Asia Standard TimeBest Approximation and Best Coapproximation in Metric Linear Spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/421
In this paper, we discuss best approximation and best coapproximation in metric linear spaces. We obtain some results on the characterizations, existence and uniqueness of elements of best approximation and best coapproximation in metric linear spaces. We also study singlevaluedness and linearity of metric projection and metric coprojection maps.Sahil Gupta, T.D. Naranghttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/421Fri, 23 Dec 2016 13:44:48 SE Asia Standard TimeExistence and uniqueness of coupled best proximity point in partially ordered metric spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/432
In this paper we utilize ??a generalized almost contractive mapping to establish some coupled best proximity point results which are global optimization results of finding the minimum distances between two sets. The results are obtained in metric spaces with a partial ordering defined therein. There is a blending of analytic and order theoretic approaches in the proofs. We illustrate the main theorem through an example.Binayak S. Choudhury, Nikhilesh Metiya, Pulak Konarhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/432Sun, 25 Dec 2016 08:59:21 SE Asia Standard Time