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)Wed, 28 Jan 2015 11:45:13 SE Asia Standard TimeOJS 2.3.6.0http://blogs.law.harvard.edu/tech/rss60A NOTE ON QUASI SPLIT NULL POINT FEASIBILITY PROBLEMS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/297
Inspired by ??the very recentwork by M.-A. Noor and Kh.-I Noor [9] ?? and given a closed convex set-valued ??mapping $C$, we??propose a split algorithm for solving the problem of finding ??an element $x^*$ in $C(x^*)$ such that ??its image, $Ax^*$, ??under ?? a linear operator, ??$A$, is a zero of a ??given maximal monotone operator $T$ in Hilbert spaces setting. ??Then, we present a strong convergence result ??and ??state ??some examples as applications.Abdellatif Moudafihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/297Wed, 11 Dec 2013 10:06:38 SE Asia Standard TimeON A GENERAL CLASS OF MULTI-VALUED STRICTLY PSEUDOCONTRACTIVE MAPPINGS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/391
In this paper, a general class of multi-valued strictly pseudocon-<br />tractive mappings, which properly includes the class of multi-valued k???strictly<br />pseudocontractive mappings, is introduced. Furthermore, it is proved that if T<br />belongs to this class of mappings and the set of fixed points of T is nonempty,<br />a Krasnoselskii-type sequence is constructed and proved to be an approximate<br />fixed point sequence of T . Finally, convergence of the sequence to a fixed point<br />of T is proved under appropriate additional conditions.<br /><br />Charles Ejike Chidume, Mmaduabuchi Ejikeme Okpalahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/391Tue, 30 Sep 2014 15:59:58 SE Asia Daylight TimeNON-STANDARD LAGRANGIANS WITH DIFFERENTIALS OPERATORS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/215
<p><em>Nonlinear dynamics from fractional variational approach characterized by non-standard Lagrangians holding singular Weinstein and higher-order extended Euler-Poisson derivative operators </em><em>are presented in this work. Many results that </em><em>can enrich the theory of analytical mechanics are obtained and discussed. </em></p>Rami Ahmad El-Nabulsihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/215Fri, 28 Jun 2013 12:54:27 SE Asia Daylight TimeHARMONIC UNIVALENT FUNCTIONS WITH VARYING ARGUMENTS DEFINED BY USING SALAGEAN INTEGRAL OPERATOR
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/206
In this paper we define and investigate a new class of harmonic functions defined by using Salagean integral operator with varying arguments. We obtain coefficient inequalities, extreme points and distortion bounds.Rabha Mohammed El-Ashwah, Mohammed Kamal Aouf, Ahmed Ahmed Mohammed Hassan, Alaa Hassan Attiahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/206Sat, 10 Aug 2013 11:44:12 SE Asia Daylight TimeCONVERGENCE THEOREMS ON ASYMPTOTICALLY GENERALIZED $\PHI-$ PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/204
In this study, we introduce the class of asymptotically generalized $\Phi$-pseudocontractive mappings in the intermediate sense and prove the convergence of Mann type iterative scheme to their fixed points. Our results improves and generalizes the results of Kim et al. [J. K. Kim, D. R. Sahu, Y. M. Nam, Convergence theorem for fixed points of nearly L-Lipschitzian mappings, Nonlinear Analysis 71 (2009) 2833-2838] and several others.Godwin Amechi Okekehttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/204Thu, 12 Jun 2014 15:28:02 SE Asia Daylight TimeAN EXISTENCE THEOREM FOR A CLASS OF DIFFERENTIAL INCLUSIONS WITH A PRECISE ESTIMATE ON THE GRADIENT OF A SOLUTION
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/338
In this paper, by using nonsmooth version of very recently the-<br />orem?? of?? Ricceri?? relating?? to?? continuously?? functionals,?? we?? get?? a?? new?? class?? of<br />nonlinearities for which the Dirichlet problem has a solution, with a precise<br />estimate on the gradient.Shirin Mirhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/338Mon, 08 Sep 2014 18:01:22 SE Asia Daylight TimeAUXILIARY PRINCIPLE TECHNIQUE AND ALGORITHM ASPECT FOR MIXED EQUILIBRIUM PROBLEMS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/343
In this paper, we consider a mixed equilibrium problem in real Hilbert space.By using the auxiliary principle technique, some new iterative algorithms for solving mixedequilibrium problem are suggested and analyzed. Further, we prove that the sequences generatedby iterative algorithm converge weakly to a solution of mixed equilibrium problem.Farhat Suhel, S K Srivastava, Suhel Ahmad Khanhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/343Mon, 08 Sep 2014 18:08:10 SE Asia Daylight TimeHYBRID FIXED POINT THEORY FOR NONINCREASING MAPPINGS IN PARTIALLY ORDERED METRIC SPACES AND APPLICATIONS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/344
We present some ??hybrid fixed point theorems for nonincreasing mappings in a partially ordered complete metric space ??and apply to prove the existence as well as an algorithm for the solutions of initial value problems of nonlinear first order ordinary differential equations. An example is also provided to illustrate the abstract theory developed in this ??paper.Bapurao C. Dhage, Shyam B. Dhagehttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/344Thu, 12 Jun 2014 15:16:37 SE Asia Daylight TimeSOME DEVELOPMENT FOR NEWTON'S METHOD UNDER MILD DIFFERENTIABILITY CONDITIONS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/345
We develop a semilocal convergence analysis for Newton???s method under mild<br />differentiability conditions. Our sufficient convergence conditions can be weaker than conditions found in earlier studies such as [11-14,16,18???21]. Numerical examples are also provided.sanjay kumar khattrihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/345Thu, 12 Jun 2014 15:05:46 SE Asia Daylight TimeKKT OPTIMALITY CONDITIONS FOR INTERVAL VALUED OPTIMIZATION PROBLEMS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/335
In the present paper we obtain sufficient conditions to the optimization problems with interval valued objective and interval valued constraint functions using LU-convexity, UC-convexity and pseudoconvexity. For this we consider two types of order relations on the set of all closed intervals. For each order relation KKT-conditions using the concept of weak differentiability for interval valued functions are obtained. An example is also given in order to illustrate our main result.Deepak Singh, Bilal Ahmed Darhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/335Thu, 22 May 2014 18:05:16 SE Asia Daylight TimeCOMMON FIXED POINTS FOR WEAKLY COMPATIBLE MAPS IN INTUITIONISTIC FUZZY METRIC SPACES USING PROPERTY (S-B)
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/231
<p><strong>Abstract:</strong> In this note we prove a common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric spaces using property (S-B), which generalize the results of Kumar and Vats [25], Alaca, Turkoglu and Yildiz [4].</p>Praveen Kumar Sharma, Sushil Sharmahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/231Fri, 28 Jun 2013 12:57:19 SE Asia Daylight TimeON THE GENERALIZED QUASI-VECTOR EQUILIBRIUM INEQUALITY PROBLEM VIA SCALARIZATION
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/361
In this note, we consider the nonlinear scalarization function in topological vector spaces and present some properties of it and by using the nonlinear scalarization function we establish an existence theorem for a solution of a generalized quasi-vector equilibrium problem. Moreover, we show that under suitable conditions the solution set of the generalized quasi-vector equilibrium problem is<br />compact.parastoo zangenehmehr, Ali Farajzadehhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/361Fri, 06 Feb 2015 16:36:11 SE Asia Standard TimeANOTHER HYBRID CONJUGATE GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION PROBLEMS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/322
Conjugate gradient method is one of the most useful method for<br />solving large scale unconstrained optimization problems. In this article a new<br />hybrid conjugate gradient method that satisfies the descent condition independently of the line searches is proposed. In particular, it is a hybrid of the Fletcher-Reeves~($\beta_k^{FR}$) and Polak-Ribiere-Polyak~($\beta_k^{PRP}$) methods.<br />Convergence analysis of the new method is presented. Numerical results of the method show that the proposed hybrid algorithm is just as<br />competitive.Pro Kaelohttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/322Wed, 28 Jan 2015 11:26:43 SE Asia Standard Time