Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions

In this paper, we investigate the split equilibrium problems and fixed point problems in Hilbert spaces. We provide a unified framework for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are pseudoco...

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Published inOptimization Vol. 71; no. 9; pp. 2451 - 2469
Main Authors Yao, Yonghong, Li, Huayu, Postolache, Mihai
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.09.2022
Taylor & Francis LLC
Subjects
equilibrium problem
fixed point
Hilbert space
Iterative algorithms
Operators
pseudocontractive operators
pseudomonotone operators
Split problem
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Summary:In this paper, we investigate the split equilibrium problems and fixed point problems in Hilbert spaces. We provide a unified framework for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are pseudocontractive. We suggest an iterative algorithm for solving the split problem and demonstrate its weak convergence.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2020.1857757