On approximate vector variational inequalities and vector optimization problem using convexificator
In the present article, we study a vector optimization problem involving convexificator-based locally Lipschitz approximately convex functions and give some ideas for approximate efficient solutions. In terms of the convexificator, we approximate Stampacchia-Minty type vector variational inequalitie...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-08-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20221039?viewType=HTML |
| _version_ | 1818472794879426560 |
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| author | Faizan A. Khan Rohit K. Bhardwaj Tirth Ram Mohammed A. S. Tom |
| author_facet | Faizan A. Khan Rohit K. Bhardwaj Tirth Ram Mohammed A. S. Tom |
| author_sort | Faizan A. Khan |
| collection | DOAJ |
| description | In the present article, we study a vector optimization problem involving convexificator-based locally Lipschitz approximately convex functions and give some ideas for approximate efficient solutions. In terms of the convexificator, we approximate Stampacchia-Minty type vector variational inequalities and use them to describe an approximately efficient solution to the nonsmooth vector optimization problem. Moreover, we give a numerical example that attests to the credibility of our results. |
| first_indexed | 2024-04-14T04:12:22Z |
| format | Article |
| id | doaj.art-e94765b066f245b9a95fc7df791757d2 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-14T04:12:22Z |
| publishDate | 2022-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-e94765b066f245b9a95fc7df791757d22022-12-22T02:13:04ZengAIMS PressAIMS Mathematics2473-69882022-08-01710188701888210.3934/math.20221039On approximate vector variational inequalities and vector optimization problem using convexificatorFaizan A. Khan0Rohit K. Bhardwaj1Tirth Ram2Mohammed A. S. Tom31. Computational & Analytical Mathematics and their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Kingdom of Saudi Arabia2. Department of Mathematics, University of Jammu, Jammu 180006, India2. Department of Mathematics, University of Jammu, Jammu 180006, India1. Computational & Analytical Mathematics and their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Kingdom of Saudi Arabia3. Department of Mathematics, University of Bahri, Khartoum 11111, SudanIn the present article, we study a vector optimization problem involving convexificator-based locally Lipschitz approximately convex functions and give some ideas for approximate efficient solutions. In terms of the convexificator, we approximate Stampacchia-Minty type vector variational inequalities and use them to describe an approximately efficient solution to the nonsmooth vector optimization problem. Moreover, we give a numerical example that attests to the credibility of our results.https://www.aimspress.com/article/doi/10.3934/math.20221039?viewType=HTMLapproximate efficient solutionsconvexificatornonsmooth vector optimization problemvector variational inequality |
| spellingShingle | Faizan A. Khan Rohit K. Bhardwaj Tirth Ram Mohammed A. S. Tom On approximate vector variational inequalities and vector optimization problem using convexificator AIMS Mathematics approximate efficient solutions convexificator nonsmooth vector optimization problem vector variational inequality |
| title | On approximate vector variational inequalities and vector optimization problem using convexificator |
| title_full | On approximate vector variational inequalities and vector optimization problem using convexificator |
| title_fullStr | On approximate vector variational inequalities and vector optimization problem using convexificator |
| title_full_unstemmed | On approximate vector variational inequalities and vector optimization problem using convexificator |
| title_short | On approximate vector variational inequalities and vector optimization problem using convexificator |
| title_sort | on approximate vector variational inequalities and vector optimization problem using convexificator |
| topic | approximate efficient solutions convexificator nonsmooth vector optimization problem vector variational inequality |
| url | https://www.aimspress.com/article/doi/10.3934/math.20221039?viewType=HTML |
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