Nondifferentiable Minimax Fractional Programming Problems with (C, α, ρ, d)-Convexity

D. H. Yuan, X. L. Liu, A. Chinchuluun and P. M. Pardalos
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D. H. Yuan: Hanshan Teachers College
X. L. Liu: Hanshan Teachers College
A. Chinchuluun: University of Florida
P. M. Pardalos: University of Florida

Journal of Optimization Theory and Applications, 2006, vol. 129, issue 1, No 11, 185-199

Abstract: Abstract In this paper, we present necessary optimality conditions for nondifferentiable minimax fractional programming problems. A new concept of generalized convexity, called (C, α, ρ, d)-convexity, is introduced. We establish also sufficient optimality conditions for nondifferentiable minimax fractional programming problems from the viewpoint of the new generalized convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for two types of dual programs.

Keywords: Minimax fractional programming problem; (C; α; ρ; d)-convexity; necessary conditions; sufficient conditions; duality theory (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-006-9052-5

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