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

X. J. Long ()
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X. J. Long: Chongqing Technology and Business University

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 1, No 11, 197-208

Abstract: 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.

Keywords: Nondifferentiable multiobjective fractional programming; Sufficient optimality condition; Duality; Weakly efficient solution; (C; α; ρ; d)-convexity (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-010-9740-z

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