On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds

In this paper, we consider classes of approximate Minty and Stampacchia type vector variational inequalities using Clarke subdifferential on Hadamard manifolds and a class of nonsmooth multiobjective optimization problems. We investigate the relationship between the solution of these approximate vec...

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Bibliographic Details
Published inOptimization Vol. 72; no. 12; pp. 3081 - 3100
Main Authors Bhooshan Upadhyay, Balendu, Treanţă, Savin, Mishra, Priyanka
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 02.12.2023
Taylor & Francis LLC
Subjects
Approximate vector variational inequalities
Clarke subdifferential
Hadamard manifolds
Inequalities
Manifolds
Multiple objective analysis
Optimization
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Summary:In this paper, we consider classes of approximate Minty and Stampacchia type vector variational inequalities using Clarke subdifferential on Hadamard manifolds and a class of nonsmooth multiobjective optimization problems. We investigate the relationship between the solution of these approximate vector variational inequalities and the solution of nonsmooth multiobjective optimization problems involving geodesic approximately convex functions. The results presented in this paper extend and generalize some existing results in the literature.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2022.2088369