Optimality and duality in multiobjective programming involving higher order semilocally strong convexity
by Anurag Jayswal; Vivek Singh; I. Ahmad
International Journal of Mathematics in Operational Research (IJMOR), Vol. 11, No. 2, 2017

Abstract: In this paper, we propose a generalisation of convexity, namely higher order semilocally strong convexity for a nonlinear multiobjective programming problem, where the function involved are semidifferentiable. The generalised Karush-Kuhn-Tucker necessary and sufficient optimality conditions are derived. Moreover, a general Mond-Weir type dual problem is presented for nonlinear multiobjective programming problem involving higher order semilocally strong convexity and usual duality theorems are discussed.

Online publication date: Mon, 04-Sep-2017

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