on vector variational-like inequality and vector optimization problem with (g, α)-univexity

In this paper, we introduce and study (g, α)-univex functions by generalizing the α-univex functions and establish the 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, α)-univexity assumptions. an example is also constructed to validate the main result.