Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C,α,ρ,d)‐convexity

Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C,α,ρ,d)‐convexity

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Article ID: iaor20111385
Volume: 148
Issue: 1
Start Page Number: 197
End Page Number: 208
Publication Date: Jan 2011
Journal: Journal of Optimization Theory and Applications
Authors:
Abstract:

The purpose of this paper is to consider a class of nondifferentiable multiobjective fractional programming problems in which every component of the objective function contains a term involving the support function of a compact convex set. Based on the (C,α,ρ,d)‐convexity, sufficient optimality conditions and duality results for weakly efficient solutions of the nondifferentiable multiobjective fractional programming problem are established. The results extend and improve the corresponding results in the literature.

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