Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces

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...

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Published inOptimization Vol. 67; no. 8; pp. 1183 - 1196
Main Authors Chang, Shih-sen, Wen, Ching-Feng, Yao, Jen-Chih
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.08.2018
Taylor & Francis LLC
Subjects
accretive operator
Algorithms
Banach spaces
Convex minimization problem
Error analysis
inclusion problems of accretive operators
splitting method
zero point problem
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2018.1470176