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In the present paper, we consider a nondifferentiable multiobjective programming problem with support functions and locally Lipschitz functions. Several sufficient optimality conditions are discussed for a strict minimizer of a nondifferentiable multiobjective programming problem under strong invexity and its generalizations of order σ. Weak and strong duality theorems are established for a Mond-Weir type dual.

Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity