Hybrid Projection Algorithm for Two Finite Families of Asymptotically Quasi ϕ-Nonexpansive Mappings in Reflexive Banach Spaces. (2nd January 2018)

• Record Type: Journal Article
• Authors: Hieu, Nguyen Trung; Dung, Nguyen Van
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 1(2018)
• Page Start: 67
• Page End: 86
• Publication Date: 2018-01-02
• Subjects: Asymptotically quasi ϕ-nonexpansive mappings -- hybrid projection algorithm -- reflexive Banach space; Primary: 47H09, 47H10 -- Secondary: 47J25, 65J15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1354886
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we introduce a hybrid projection algorithm for two finite families of asymptotically quasi ϕ -nonexpansive mappings to establish a convergence theorem in smooth, strictly convex, and reflexive Banach spaces. As applications, we state the convergence of hybrid projection algorithm for two finite families of asymptotically quasi-nonexpansive mappings in Hilbert spaces and the convergence for a system of equilibrium problems.