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, 01 Sep 2015 15:53:24 SE Asia Daylight TimeOJS 2.3.6.0http://blogs.law.harvard.edu/tech/rss60Cone metric type space and new coupled fixed point theorems
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/278
The notion of coupled fixed point was initiated in 2006 by Bhaskar and Lakshmikantham. On the other hand, Radenovi\'{c} and Kadelburg [S. Radenovi\'{c}, Z. Kadelburg, Quasi-contractions on symmetric and cone symmetric spaces, Banach J. Math. Anal. 5 (1) (2011) 38-50] defined cone metric type space and proved several fixed point theorems.<br />In this paper we introduce the concept of a coupled fixed point for a contractive condition in cone metric type space and prove some coupled fixed point theorems.Hamidreza Rahimi, Stojan Radenovic, Ghasem Soleimani Radhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/278Wed, 13 May 2015 13:10:36 SE Asia Daylight TimeON CHARACTERIZATION OF MULTIWAVELET PACKETS ASSOCIATED WITH A DILATION MATRIX
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/330
We provide a complete characterization of multiwavelet packets associatedwith dilation matrix based on results on affine and quasi-affine frames. Moreover, thesecharacterizations are valid without any decay assumptions on the generators of the system.Firdous A Shahhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/330Wed, 13 May 2015 13:22:09 SE Asia Daylight TimeSensitivity analysis for an optimal control problem of production system based on non- linear conservation law
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/352
Dynamics of a production system having large number ofitems can be represented through hyperbolic conservation law. Due tononlinear dependence on the work in progress, the resulting partial dif-ferential equation becomes nonlinear. Further, occurrence of yield lossduring the process makes it nonhomogeneous. In this paper an optimalcontrol problem has been studied incorporating hyperbolic conservationlaw as a constraint. One of the few ways to control the output of pro-duction system is by adjusting the influx in the system. Moreover, yieldloss can also be controlled in a time dependent manner. It is well knownthat the solutions of nonlinear conservation laws may develop disconti-nuities known as shock waves that forbid the use of classical variationaltechniques. This paper studies sensitivity analysis with the presence ofshocks. Adjoint technique has been implemented to evaluate gradientsof cost functionals.Tanmay Sarkarhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/352Wed, 13 May 2015 13:27:30 SE Asia Daylight TimeA new non-Lipschitzian projection method for solving variational inequalities in Euclidean spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/385
The extragradient method introduced by Korpelevich [18] and Antipin [1] is a double projection method designed for solving variational inequalities. The double projection per iteration enable to obtain convergent under monotonicity and Lipschitz continuity while other single projection methods, for example the projected gradient method requires strong monotonicity. The subgradient extragradient method is a modi??fication of the extragradient in which the second projection onto the feasible set is replaced by a projection onto a specific constructible half-space which is actually one of the subgradient half-spaces. Still, this algorithm requires Lipschitz continuity. In this work we introduce a self-adaptive subgradient extragradient method by adopting Armijo-like searches which enables to obtain convergent under the assumption of pseudo-monotonicity and continuity.Aviv Gibalihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/385Wed, 27 May 2015 15:27:54 SE Asia Daylight TimeSome Fixed Point Results for Generalized Contractions in Partially Ordered Cone Metric Spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/158
<span style="font-family: CMR9; font-size: xx-small;"><span style="font-family: CMR9; font-size: xx-small;"><p>The aim of this paper is to present some xed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize xed point theorems of J. Harjani, K. Sadarangani [J. Harjani, K. Sadarangani, Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Analysis 72 (2010) 1188-1197] from metric spaces to cone metric spaces.</p></span></span>Mehdi Asadi, Hossein Soleimanihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/158Wed, 27 May 2015 15:39:22 SE Asia Daylight TimeThe split equality fixed point problem for demi-contractive mappings
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/380
Motivated by the recent work of Moudafi and inspired by Xu , Censor et al. , and Yang,we investigate a Krasnoselskii-type iterative algorithm for solving the split equality fixed pointproblem recently introduced by Moudafi et al.. Weak and strong convergence theorems areproved for the class of demi-contractive mappings in Hilbert spaces. Our theorems extend andcomplement some recent results of Moudafi and a host of other recent important results.Charles Ejike Chidume, Patrice Ndambomve, Usman Abdulmalik Bellohttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/380Fri, 19 Jun 2015 12:40:25 SE Asia Daylight TimeSome Generalized Triple Sequence Spaces of Real Numbers
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/378
The idea of difference sequence spaces was first introduced by Kizmaz in 1981 and the idea of triple sequences was first introduced by Sahiner et.al. 2007. In this article we introduce the notion of triple sequence spaces.., .. ??and .. using the difference operator ?? . We study some of their algebraic and topological properties and prove some inclusion results.Shyamal Debnath, Bipul Sarma, Bimal Chandra Dashttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/378Wed, 13 May 2015 13:24:13 SE Asia Daylight TimeOn the symmetric vector quasi-equilibrium problem via nonlinear scalarization method
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/363
The aim of this paper, among other<br />things, is, using a nonlinear scalarization function and its<br />properties,?? to study an existence theorem for a solution of SVQEP<br />in the setting of real???? topological vector space. One can consider this note as a new version of the reference \cite{F1}<br />by replacing a nonlinear scalarization function by a linear functional.A. P. Farajzadehhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/363Fri, 06 Mar 2015 17:05:52 SE Asia Standard Time