Fixed Point Theorems and Convergence Theorems for a New Generalized Nonexpansive Mapping. (10th December 2018)

• Record Type: Journal Article
• Authors: Donghan, Cai; Jie, Shi; Weiyi, Liu
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 16(2018)
• Page Start: 1742
• Page End: 1754
• Publication Date: 2018-12-10
• Subjects: Convergence theorems -- fixed point -- iteration -- nonexpansive mapping; 47H09 -- 47H10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1497650
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This paper introduces a new mapping that is weaker than nonexpansive mapping. The new mapping is different from the Suzuki's generalized nonexpansive mapping. This paper introduces a new iteration process for the fixed point, and gives fixed point theorems and Convergence theorems for a new generalized nonexpansive mapping in Banach space, insteading of uniformly convex Banach space.