Journal of Nonlinear Analysis and Optimization: Theory & Applications <p><strong>Journal of Nonlinear Analysis and Optimization: Theory &amp; 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.&nbsp;This journal was conceived as the main scientific publication of Center of Excellence in Nonlinear Analysis and Optimization, Naresuan University, Thailand.</p> <p>&nbsp;</p> en-US <p>License Terms has to be written!</p> (Narin Petrot) (Wuttipong Ruanthong) Wed, 01 Apr 2020 00:00:00 +0700 OJS 60 Closedness of the optimal solution sets for general vector alpha optimization problems <p>The aim of paper is to study the closedness of the optimal solution sets for general vector alpha optimization problems in Hausdorff locally convex topological vector spaces. Firstly, we present the relationships between the optimal solution sets of primal and dual general vector alpha optimization problems. Secondly, making use of the upper semicontinuity of a set-valued mapping, we discuss the results on closedness of the optimal solution sets for general vector alpha optimization problems in infinite dimensional spaces.</p> T. Su, D. Hang Copyright (c) 2020 Journal of Nonlinear Analysis and Optimization: Theory & Applications Mon, 06 Apr 2020 00:00:00 +0700 Approximation of Solutions of Split Inverse Problem For Multi-valued Demi-Contractive Mappings In Hilbert Spaces <p>&nbsp;Let H_{1} and H_{2} be real Hilbert spaces and A_{j} : H_{1} to H_{2}, (1 leq j leq r) be&nbsp; bounded linear linear operators, U_{i} : H_{1} to 2^{H_{1}}, (1 leq i leq n) and T_{j} : H_{2} to 2^{H_{2}}, (1 leq j leq r) be multi-valued demi-contractive operators.<br>An iterative scheme is constructed and shown to converge weakly to a solution of generalized split common fixed points problem (GSCFPP). Under additional mild condition, the scheme is shown to converge strongly to a solution of GSCFPP. Moreover, our scheme is of special interest.</p> A. Bello, C. Chidume, M. Isyaku Copyright (c) Fri, 10 Jan 2020 00:00:00 +0700 Coupled coincidence point theorems of mappings in partially ordered metric spaces <pre>In this paper we introduce a new generalized weakly contractive condition involving expressions of Kannan type contraction. And we establish coupled coincidence point and coupled common fixed point theorems of a pair of mappings satisfying the new contractive condition. An example is given to illustrate the theorems.</pre> E. Prajisha, P. Shaini Copyright (c) Sat, 28 Mar 2020 00:00:00 +0700 Iterative scheme for fixed point problem of asymptotically nonexpansive semigroups and split equilibrium problem in Hilbert spaces <p>The main objective of this work is to modify the sequence $\{x_{n}\}$ of the explicit projection algorithm of asymptotically nonexpansive semigroups. We prove the strong convergence theorem of a sequence $\{x_{n}\}$ to the common fixed point of asymptotically nonexpansive semigroups and the solutions of split equilibrium problems. Our main results extended and improved the results of Pei Zhou and Gou-Jie Zhao [17] and many authors.</p> I. Inchan Copyright (c) Fri, 10 Jan 2020 00:00:00 +0700 Inexact Proximal Point Algorithm for Multiobjective Optimization <pre>The main aim of this article is to present an inexact proximal point algorithm for constrained multiobjective optimization problems under the locally Lipschitz condition of the cost function. Convergence analysis of the considered method, Fritz-John necessary optimality condition of $\epsilon$-quasi weakly Pareto solution in terms of Clarke subdifferential is derived. The suitable conditions to guarantee that the accumulation points of the generated sequences are Pareto-Clarke critical points are provided.</pre> F. Amir, N. Petrot Copyright (c) Mon, 06 Apr 2020 00:00:00 +0700 Convergence theorems of monotone $(\alpha, \beta)$-nonexpansive mappings for normal-S iteration in ordered Banach spaces with convergence analysis <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p>In this work, we prove some theorems of existence of fixed points for a monotone (α, β)-nonexpansive mapping in a uniformly convex ordered Banach space. Also, we prove some weak and strong convergence theorems of normal-S iteration under some control condition. Finally, we give two numerical examples to illustrate the main result in this paper.</p> </div> </div> </div> K. Muangchoo-in, P. Kumam, J- Yao, C- Wen Copyright (c) Fri, 10 Jan 2020 00:00:00 +0700