On vector variational-like inequality and vector optimization problem with $(G,\alpha)$-univexity

	On vector variational-like inequality and vector optimization problem with $(G,\alpha)$-univexity
International Journal of Nonlinear Analysis and Applications
مقاله 57، دوره 13، شماره 2، مهر 2022، صفحه 643-650 اصل مقاله (377.13 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25527.3044
نویسندگان
Tirth Ram^* ؛ Rohit Kumar Bhardwaj
Department of Mathematics, University of Jammu, Jammu-180006, India
چکیده
In this paper, we introduce and study $(G,\alpha)$-univex functions by generalizing the $\alpha- $ univex functions and establishing relationships between vector variational-like inequality problems and vector optimization problems. Furthermore, we formulate equivalence among the vector critical points, weak efficient points of vector optimization problems and the solution of weak vector variational-like inequality problems under pseudo-$(G,\alpha)$-univexity assumptions. An example is also constructed to validate the main result.
کلیدواژه‌ها
Pseudo-univexity؛ vector optimization؛ vector critical points؛ vector efficient points
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