Strong Convergence Theorems by Hybrid Methods for Two Noncommutative Nonlinear Mappings in Banach Spaces. (26th July 2020)

• Record Type: Journal Article
• Authors: Takahashi, Wataru; Yao, Jen-Chih
• Is Part Of: Numerical functional analysis and optimization. Volume 41:Number 10(2020)
• Page Start: 1149
• Page End: 1171
• Publication Date: 2020-07-26
• Subjects: Fixed point -- hybrid method -- shrinking projection method -- skew-generalized nonspreading mapping; 47H05 -- 47H09; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2020.1739070
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper, using the hybrid method defined by Nakajo and Takahashi, we first obtain a strong convergence theorem for two noncommutative generic skew generalized nonspreading mappings in a Banach space. Next, using the shrinking projection method defined by Takahashi, Takeuchi and Kubota, we prove another strong convergence theorem for the mappings in a Banach space. Using these results, we get new strong convergence theorems by the hybrid method and the shrinking projection method in a Hilbert space and a Banach space.