Optimality Conditions and Duality for Nonsmooth Minimax Programming Problems Under Generalized Invexity

Meraj Ali Khan

In this paper, we consider a class of nonsmooth minimax programming problems in which functions are locally Lipschitz. Sufficient optimality conditions are discussed under locally Lipschitz generalized $(\Phi,\rho)$-invex functions. Moreover, usual duality results are proved under the said assumptions.