Relationship between nonsmooth vector optimization problem and vector variational inequalities using convexificators

	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
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

آمار تعداد مشاهده مقاله: 19,505 تعداد دریافت فایل اصل مقاله: 13,074

پیوندهای مفید

آمار