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Relationship between nonsmooth vector optimization problem and vector variational inequalities using convexificators | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 15، شماره 2، اردیبهشت 2024، صفحه 1-10 اصل مقاله (359.76 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28878.4093 | ||
| نویسندگان | ||
| Rohit Kumar Bhardwaj* ؛ Tirth Ram | ||
| Department of Mathematics, University of Jammu, Jammu- 180006, India | ||
| تاریخ دریافت: 17 آذر 1401، تاریخ بازنگری: 17 تیر 1402، تاریخ پذیرش: 19 تیر 1402 | ||
| چکیده | ||
| In this article, we examine a nonsmooth vector optimization problem with locally Lipschitz approximately convex mappings in terms of the convexificator and provide some ideas for approximate effective solutions. Additionally, we define the relationship between the convexificator-based solutions of Stampacchia type vector variational inequalities ($VVI$) and the approximate efficient approximation convex function of nonsmooth vector optimization problems using the locally Lipschitz function. Furthermore, we provide a numerical example to demonstrate the veracity of our findings. | ||
| کلیدواژه‌ها | ||
| Convexificator؛ nonsmooth vector optimization problem؛ approximate efficient solutions | ||
| مراجع | ||
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