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
Online AccessGet full text
ISSN0233-1934
1029-4945
DOI10.1080/02331934.2023.2256769

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Abstract 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.
AbstractList 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.
Author Postolache, Mihai
Yao, Jen-Chih
Yao, Yonghong
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  givenname: Jen-Chih
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  fullname: Yao, Jen-Chih
  organization: China Medical University
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Snippet 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...
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SubjectTerms Adaptive algorithms
demicontractive operator
fixed point
Fixed points (mathematics)
Iterative algorithms
monotone operator
Operators
Split problem
variational inclusion
Title An approximation algorithm for solving a split problem of fixed point and variational inclusion
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