An approximation algorithm for solving a split problem of fixed point and variational inclusion

In this paper, the split fixed point and variational inclusion problems are considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which the involved operators f and g are demicontra...

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Published inOptimization Vol. 74; no. 2; pp. 459 - 472
Main Authors Yao, Yonghong, Postolache, Mihai, Yao, Jen-Chih
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 25.01.2025
Taylor & Francis LLC
Subjects
Adaptive algorithms
demicontractive operator
fixed point
Fixed points (mathematics)
Iterative algorithms
monotone operator
Operators
Split problem
variational inclusion
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Summary:In this paper, the split fixed point and variational inclusion problems are considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which the involved operators f and g are demicontractive operators and ϕ is plain monotone. Strong convergence theorem is proved under some mild conditions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2256769