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

نویسندگان

1 Department of Mathematics, University of Jammu, Jammu-180006, India

2 Department of Mathematics, University of Jammu, Jammu-180006, India

doi
10.22075/ijnaa.2022.25527.3044
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.