Sufficiency and Wolfe Type Duality for Nonsmooth Multiobjective Programming Problems

摘要

In this paper, a class of nonsmooth multiobjective programming problems is considered. We introduce the new concept of invex of order? ? type II for nondifferentiable locally Lipschitz functions using the tools of Clarke subdifferential. The new functions are used to derive the sufficient optimality condition for a class of nonsmooth multiobjective programming problems. Utilizing the sufficient optimality conditions, weak and strong duality theorems are established for Wolfe type duality model.