Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints

This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach. Common solution theorems are obtained in Hilbert spaces.

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Bibliographic Details
Published inOptimization Vol. 70; no. 5-6; pp. 1337 - 1358
Main Authors Ceng, L. C., Petruşel, A., Qin, X., Yao, J. C.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.06.2021
Taylor & Francis LLC
Subjects
Algorithms
asymptotically nonexpansive operator
fixed point
Fixed points (mathematics)
Hilbert space
Search process
Subgradient extragradient approach
variational inequality problem
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Summary:This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach. Common solution theorems are obtained in Hilbert spaces.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2020.1858832