A class of generalized invex functions and vector variational-like inequalities

摘要

In this paper, a class of generalized invex functions, called (α, ρ, η)-invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming problem. Finally, the existence results for the discussed variational-like inequalities are proposed by using the KKM-Fan theorem.