Nondifferentiable multiobjective second‐order symmetric duality

Nondifferentiable multiobjective second‐order symmetric duality

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Article ID: iaor20111472
Volume: 5
Issue: 1
Start Page Number: 125
End Page Number: 139
Publication Date: Feb 2011
Journal: Optimization Letters
Authors: ,
Keywords: duality
Abstract:

In this paper, a pair of Wolfe type second‐order multiobjective symmetric dual programs involving nondifferentiable functions is formulated. Weak, strong and converse duality theorems are then established using the notion of second‐order F‐convexity assumptions. An example which is second‐order F‐convex but not convex is also illustrated. Further, special cases are discussed to show that this paper extends some known results of the literature.

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