In this paper, we establish some results which exhibit an application for Michel–Penot subdifferential in nonsmooth vector optimization problems and vector variational-like inequalities. We formulate vector variational-like inequalities of Stampacchia and Minty type in terms of the Michel–Penot subdifferentials and use these variational-like inequalities as a tool to solve the vector optimizati...

Abstract: In this paper, we consider the multiobjective variational problem. We propose a class of generalized B-type I vectorvalued functions and use this concept to establish sufficient optimality conditions and mixed type duality results.