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Research Article | Open Access

On some vector variational inequalities and optimization problems

Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
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Abstract

This paper establishes connections between the solutions of some new vector controlled variational inequalities and (proper) efficient solutions of the corresponding multiobjective controlled variational problem. More precisely, under the assumptions of invexity and Fréchet differentiability of the involved curvilinear integral functionals, and by using the notion of invex set with respect to some given functions, we derive the characterization results.

Keywords

(proper) efficient solutioninvex setFréchet differentiabilitycurvilinear integral
CLC number: 49K20, 49J21

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AIMS Mathematics
Volume 7 Issue 8,
August 2022
Pages 14434-14443
DOI: 10.3934/math.2022795

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Cite this article:
Treanţă S. On some vector variational inequalities and optimization problems. AIMS Mathematics, 2022, 7(8): 14434-14443. https://doi.org/10.3934/math.2022795

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Received: 10 March 2022
Revised: 18 May 2022
Accepted: 18 May 2022
Published: 15 August 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)