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)Mon, 28 Nov 2016 14:21:57 SE Asia Standard TimeOJS 2.3.6.0http://blogs.law.harvard.edu/tech/rss60Convergence Theorems for Lipschitz Pseudocontractive non-self Mappings in Banach Spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/412
In this paper, we introduce an iterative process ??and prove strong convergence result for finding thefixed point of Lipschitz pseudocontractive non-self ??mapping ??in Banach spaces more general than Hilbert spaces.??In addition, strong ??and weak convergence ??of Mann type ??sequence ??to a fixed point of $\lambda$-strictly pseudocontractive non-self ??mapping is investigated.??Moreover, ??a numerical example which shows the ??conclusion of our result ??is presented.??Our results improve and generalize many known results in the currentliterature.Habtu Zegeye, Abebe R. Tufahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/412Mon, 28 Nov 2016 16:00:32 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/432Mon, 28 Nov 2016 16:03:00 SE Asia Standard TimeFIXED POINTS VIA wt-DISTANCE IN b-METRIC SPACES ENDOWED WITH A GRAPH
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/434
We prove some fixed point theorems by using the concept of wt-distance in a b-metric space endowed with a graph. Our results will improve and supplement several well known comparable results in the existing literature.Sushanta Kumar Mohantahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/434Mon, 28 Nov 2016 16:16:40 SE Asia Standard TimeLocal convergence of a multi-point Jarratt-type method in Banach space under weak conditions
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/353
We present a???? local convergence analysis of a multi-point?? Jarratt-type method of high convergence order in order to?? approximate<br /> a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fr\'{e}chet-derivative of the operator involved. In contrast to earlier studies using hypotheses up to the third Fr\'{e}chet-derivative \cite{26}.???? Numerical examples are also provided in this study.<br />Santhosh George, Ioannis K Argyroshttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/353Mon, 28 Nov 2016 16:17:50 SE Asia Standard TimeGENERALISED CESARO-ORLICZ DOUBLE SEQUENCE SPACES OVER N-NORMED SPACES
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/411
This article is an attempt to highlight wide-ranging Cesaro-Orlicz double difference sequence spaces over n-normed spaces. The aim here lies in analyzing some topological properties and inclusion relations between these spaces.<br />Kuldip Raj, Suruchi Pandohhttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/411Mon, 28 Nov 2016 16:20:37 SE Asia Standard TimeOn the existence of solutions for a Hadamard-type fractional integro-differential inclusion
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/419
We study a class of fractional integro-differential inclusions <p style="text-indent: 0px; margin: 0px;">with nonlocal fractional integral boundary conditions and we establish a Filippov type existence result in the case of nonconvex set-valued maps.</p> <p style="text-indent: 0px; margin: 0px;">??</p>Aurelian Cerneahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/419Mon, 28 Nov 2016 16:27:11 SE Asia Standard TimeOn the Semilocal Convergence of a two step Newton method under the $\gamma-$condition
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/325
We present a semilocal convergence analysis of a two-step Newton method under the $\gamma-$condition in order to??approximate a locally unique solution of an equation in a Banach space setting. The convergence criteria are??weaker than the corresponding ones in the literature even in the case of the single step Newton method\cite{14}-\cite{19}.??Numerical examplesinvolving a nonlinear integral equation where the older convergence criteria??are not satisfied but the new convergence criteria??are satisfied, are also presented in the paper.Ioannis K Argyros, Santhosh Georgehttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/325Mon, 28 Nov 2016 16:29:40 SE Asia Standard TimeOPERATOR THEORETIC TECHNIQUES IN THE THEORY OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/398
In this paper the author proves the algorithms for the existence as well as approximations of the solutions for initial value problems of nonlinear $p^{th}$ order ordinary differential equations using the operator theoretic techniques in a partially ordered space. The main results rely on a recent hybrid fixed point theorems of Dhage (2013) in a partially ordered normed linear space ??and the approximations of the solutions of the considered nonlinear differential equations are obtained under weaker mixed continuity and Lipschitz conditions. Our hypotheses and results are also illustrated by some numerical examples.Bapurao C. Dhagehttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/398Mon, 28 Nov 2016 16:31:18 SE Asia Standard TimeSet-valued Pre\v{s}i\'{c}-Reich type contractions in cone metric spaces and fixed point theorems
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/424
The purpose of this paper is to prove some fixed point theorems for set-valued mappings satisfying Pre\v{s}i\'{c}-Reich type contractive condition in cone metric spaces, without assuming the normality of cone. Our results generalize some known results in metric and cone metric spaces.satish shuklahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/424Mon, 28 Nov 2016 16:33:51 SE Asia Standard TimeSome Fixed Point Results for Ciric Operators in b-Metric Spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/389
Fixed points for Ciric operators satisfying some generalized con-<br />tractive type conditions are obtained in the setting of b-metric spaces. Moreover, we investigate that these operators satisfy property P. Finally, strength of hypothesis made in main theorem has been weighed through an illustrative example.Sushanta Kumar Mohanta, Rima Maitrahttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/389Mon, 28 Nov 2016 16:38:13 SE Asia Standard TimeHyperstability of a Cauchy functional equation
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/383
The aim of this paper is to offer hyperstability<br />results for the?? Cauchy functional equation<br />$$<br />f\left(\sum_{i=1}^{n}x_{i}\right)=\sum_{i=1}^{n}f(x_{i})<br />$$<br /> in Banach spaces. Namely, we show that a function satisfying the equation approximately must be<br />actually a solution to it.Muaadh Almahalebihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/383Mon, 28 Nov 2016 16:39:09 SE Asia Standard TimeBest Proximity Pairs in Cone Metric Spaces
http://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/227
Mohammad Reza Haddadihttp://www.math.sci.nu.ac.th/ojs234/index.php/jnao/article/view/227Mon, 28 Nov 2016 16:49:30 SE Asia Standard Time