Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds. (4th June 2021)

• Record Type: Journal Article
• Authors: Chang, Shih-sen; Yao, Jen-Chih; Yang, L.; Wen, Ching-Feng; Wu, D. P.
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 5(2021)
• Page Start: 567
• Page End: 582
• Publication Date: 2021-06-04
• Subjects: Equilibrium problem -- Hadamard manifold -- maximal monotone vector field -- quasi-nonexpansive mappings -- quasi-variational inclusion problem; 26B25 -- 47H05 -- 47J25 -- 58A05 -- 58C30 -- 90C33; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1895835
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion problems, equilibrium problems and fixed point for quasi-nonexpansive mappings in Hadamard manifolds. It is shown that under mild conditions, the iterative sequence generated by the proposed algorithm converges to a common solution. As applications, we apply our results to study the minimization problems and saddle point problems in Hadamard manifolds.