Convex feasibility problems on uniformly convex metric spaces. (2nd January 2020)

• Record Type: Journal Article
• Authors: Choi, Byoung Jin; Ji, Un Cig; Lim, Yongdo
• Is Part Of: Optimization methods and software. Volume 35:Number 1(2020)
• Page Start: 21
• Page End: 36
• Publication Date: 2020-01-02
• Subjects: Weighted average sequence -- Mann's iterative method -- Δ-convergence -- convex feasibility problem -- p-uniformly convex metric space; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2018.1553970
• Languages: English
• ISSNs: 1055-6788

Abstract

ABSTRACT: In this paper, we extend two important notions, weighted average method and Mann's iterative method, in the study of convex feasibility problem for general maps defined on p -uniformly convex metric spaces. Then we prove the Δ-convergence theorems for the weighted average sequence and the Mann's alternating sequence in p -uniformly convex metric spaces.