On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces. (2nd January 2017)

• Record Type: Journal Article
• Authors: Suparatulatorn, Raweerote; Cholamjiak, Prasit; Suantai, Suthep
• Is Part Of: Optimization methods and software. Volume 32:Number 1(2017)
• Page Start: 182
• Page End: 192
• Publication Date: 2017-01-02
• Subjects: convex minimization problem -- fixed-point problem -- CAT(0) space -- proximal point algorithm -- nonexpansive mapping; 47H09 -- 47H10; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2016.1219908
• Languages: English
• ISSNs: 1055-6788

Abstract

Abstract : We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild conditions. Our results extend some known results which appeared in the literature.