2005•Asia Pacific Journal of Operational ResearchRequires access

NONDIFFERENTIABLE SECOND-ORDER SYMMETRIC DUALITY

I. Ahmad, Z. Husain

Abstract

A pair of Mond–Weir type nondifferentiable second-order symmetric primal and dual problems in mathematical programming is formulated. Weak duality, strong duality, and converse duality theorems are established under η-pseudobonvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also investigated. Moreover, the self duality theorem is also discussed.

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Key concepts: Duality (order theory), Wolfe duality, Strong duality, Duality gap, Converse, Weak duality, Mathematics, Order (exchange)