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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 | ||
| تاریخ دریافت: 18 آذر 1400، تاریخ بازنگری: 06 فروردین 1401، تاریخ پذیرش: 01 اردیبهشت 1401 | ||
| 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 | ||
| مراجع | ||
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