Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces. (3rd August 2018)

• Record Type: Journal Article
• Authors: Chang, Shih-sen; Wen, Ching-Feng; Yao, Jen-Chih
• Is Part Of: Optimization. Volume 67:Number 8(2018)
• Page Start: 1183
• Page End: 1196
• Publication Date: 2018-08-03
• Subjects: Convex minimization problem -- accretive operator -- inclusion problems of accretive operators -- zero point problem -- splitting method; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2018.1470176
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: The purpose of this article is to propose a splitting algorithm for finding a common zero of a finite family of inclusion problems of accretive operators in Banach space. Under suitable conditions, some strong convergence theorems of the sequence generalized by the algorithm to a common zero of the inclusion problems are proved. Some applications to the convex minimization problem, common fixed point problem of a finite family of pseudocontractive mappings, and accretive variational inequality problem in Banach spaces are presented.