Sufficiency for nondifferentiable multiobjective programming problem

Abstract

This paper introduces a class of new generalized functions of the concept of invex of σ(B, ϕ) − V − type I for nondifferentiable locally Lipschitz functions by using the tools of Clarke subdifferential. These functions are used to derive the sufficient optimality conditions for a class of nondifferentiable multiobjective nonlinear programming problems with inequality constraints where the objective and constraint functions are locally Lipschitz.