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.
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This research was partially supported by NSF and Air Force grants
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Yuan, D.H., Liu, X.L., Chinchuluun, A. et al. Nondifferentiable Minimax Fractional Programming Problems with (C, α, ρ, d)-Convexity. J Optim Theory Appl 129, 185–199 (2006). https://doi.org/10.1007/s10957-006-9052-5
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DOI: https://doi.org/10.1007/s10957-006-9052-5