Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities
In this paper, by considering the notions of the invex set, Fréchet differentiability, invexity and pseudoinvexity for the involved functionals of curvilinear integral type, we establish some relations between the solutions of a class of weak vector variational inequalities and (weak) efficient solu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/8/431 |
| _version_ | 1797432167757774848 |
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| author | Savin Treanţă |
| author_facet | Savin Treanţă |
| author_sort | Savin Treanţă |
| collection | DOAJ |
| description | In this paper, by considering the notions of the invex set, Fréchet differentiability, invexity and pseudoinvexity for the involved functionals of curvilinear integral type, we establish some relations between the solutions of a class of weak vector variational inequalities and (weak) efficient solutions of the associated control problem. |
| first_indexed | 2024-03-09T09:57:24Z |
| format | Article |
| id | doaj.art-73918add87b441bfae1eb06eb25685a0 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T09:57:24Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-73918add87b441bfae1eb06eb25685a02023-12-01T23:43:07ZengMDPI AGFractal and Fractional2504-31102022-08-016843110.3390/fractalfract6080431Results on the Existence of Solutions Associated with Some Weak Vector Variational InequalitiesSavin Treanţă0Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, RomaniaIn this paper, by considering the notions of the invex set, Fréchet differentiability, invexity and pseudoinvexity for the involved functionals of curvilinear integral type, we establish some relations between the solutions of a class of weak vector variational inequalities and (weak) efficient solutions of the associated control problem.https://www.mdpi.com/2504-3110/6/8/431Fréchet differentiabilityweak efficient solutioncurvilinear integralinvex set |
| spellingShingle | Savin Treanţă Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities Fractal and Fractional Fréchet differentiability weak efficient solution curvilinear integral invex set |
| title | Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities |
| title_full | Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities |
| title_fullStr | Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities |
| title_full_unstemmed | Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities |
| title_short | Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities |
| title_sort | results on the existence of solutions associated with some weak vector variational inequalities |
| topic | Fréchet differentiability weak efficient solution curvilinear integral invex set |
| url | https://www.mdpi.com/2504-3110/6/8/431 |
| work_keys_str_mv | AT savintreanta resultsontheexistenceofsolutionsassociatedwithsomeweakvectorvariationalinequalities |