• SECOND ORDER DUALITY IN MULTIOBJECTIVE NONLINEAR PROGRAMMING FOR GENERALIZED -BONVEXITY

A. K. Tripathy*, A. Baral

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.


Keywords


Multiobjective program, -bonvex, -pseudo bonvex, -quasi bonvex, efficient solution, feasible point.

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