• SECOND ORDER DUALITY IN MULTIOBJECTIVE NONLINEAR PROGRAMMING FOR GENERALIZED -BONVEXITY
Abstract
A pair of second order dual program in multiobjective nonlinear programming problem is formulated. For these second order dual programs, we have proved the weak and strong duality theorem under -bonvexity condition. Also in this paper we established the Kuhn-Tucker conditions which are both necessary and sufficient for a feasible point to be properly efficient. This result is applied in establishing duality theorems for a multiple objective nonlinear programming problems using generalized -bonvex functions.
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