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A superimposed algorithm is presented. The analysis In this paper, we investigate the existence and uniqueness of a fixed point of certain operators in the setting of complete quasi- b -metric-like spaces via admissible mappings.


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Our results improve, extend, and uni In this paper, we consider the generic stability of the weakly efficient solution mapping for set-valued optimization problems. Firstly, we obtain the upper semicontinuity of the weakly efficient solution mapp In this paper, we consider a class of multiobjective E -convex programming problems with inequality constraints, where the objective and constraint functions are E -convex functions which were firstly introduced by This note deals with approximate solutions in vector optimization involving a generalized cone-invex set-valued mapping.

First, a new class of generalized cone-invex set-valued maps, called cone-subinvex set-v Authors: Guolin Yu and Xiangyu Kong. The aim of this note is twofold: first, to show that arcwise connected cone-quasiconvex set-valued mappings can be characterized in terms of classical arcwise connected quasiconvexity of certain real-valued fu Authors: GuoLin Yu. Authors: Dur-e- Shehwar and Tayyab Kamran.

An Algorithmic Approach To Nonlinear Analysis And Optimization by Edward J. Beltrami

In this paper, we establish some fixed point theorems on some extensions of Geragthy contractive type mappings in the context of b -metric-like spaces. In this article, geodesic E -convex sets and geodesic E -convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E -convex sets and geodesic strongly E -convex functions.

Some proper We introduce an iterative process which converges strongly to a common point of the solution set of a variational inequality problem for a Lipschitzian monotone mapping and the fixed point set of a continuous The purpose of this paper is to introduce the random Picard-Mann hybrid iterative process. We establish the strong convergence theorems and summable almost T -stability of the random Picard-Mann hybrid iterative p We introduce a Mann-type hybrid steepest-descent iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of general system of varia The purpose of this paper is to study fixed point theorems for a multi-valued mapping concerning with three classes of Meir-Keeler contractions with respect to the partial Hausdorff metric When the base space of the random normed modul Authors: Yujie Yang.

The present paper deals with the common solution method for finding a fixed point of a nonexpansive mapping and a solution of split hierarchical Minty variational inequality problems.


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We discuss the weak conve In this paper, we propose a hybrid type method which consists of a resolvent operator technique and a generalized projection onto a moving half-space for approximating a zero of a maximal monotone mapping in B Authors: Ying Liu. In this paper, some global optimality conditions for nonconvex minimization problems subject to quadratic inequality constraints are presented.

Then some sufficient and necessary global optimality conditions f We study the regularization method for solving the variational inclusion problem of the sum of two monotone operators in Hilbert spaces. The strong convergence theorem is then established under some relaxed co In this paper, we introduce a new composite viscosity iterative algorithm and prove the strong convergence of the proposed algorithm to a common fixed point of one finite family of nonexpansive mappings and an A generalization, namely the K -comparison function, of a comparison function is introduced.

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Using K -comparison functions we introduce. In this paper, we first introduce an iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium problem, and the solution set The split variational inclusion problem is an important problem, and it is a generalization of the split feasibility problem. In this paper, we present a descent-conjugate gradient algorithm for the split vari In this paper, we investigate the non-cooperative equilibrium problem of two person games in the setting of game theory and propose a solution via coupled fixed point results in the context of partial metric s In this paper, we introduce a hybrid extragradient viscosity iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of a general s In this paper, we propose a descent direction method for solving variational inequalities.

A new iterate is obtained by searching the optimal step size along a new descent direction which is obtained by the li In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities.

Nonlinear Analysis and Optimization

We also study their relationship to Debreu type vector equilibrium problems. Then we es Authors: Mohammed M Alshahrani. We get a theorem which shows the existence of at least three solutions for some elliptic system with Dirichlet boundary condition. We obtain this result by using the finite dimensional reduction method for the Search all SpringerOpen articles Search.

The Sixth Asian Conference on Nonlinear Analysis and Optimization (NAO-Asia 2018)

Recent Advances in Nonlinear Analysis and Optimization This thematic series is devoted to publish the latest and significant results in nonlinear analysis and optimization. AMS Homepage. Join our email list. Sign up.

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Ordering on the AMS Bookstore is limited to individuals for personal use only. Access this eBook now! Advanced search. Mordukhovich ; Itai Shafrir ; Alexander J. Affiliation s HTML :. Abstract: This volume is the second of two volumes representing leading themes of current research in nonlinear analysis and optimization. Book Series Name: Contemporary Mathematics. Volume: Publication Month and Year: Copyright Year: Page Count: Online ISBN Online ISSN: Applied Math? MAA Book?