Second-Order Duality for Nondifferentiable Minimax Fractional Programming Involving (F, ρ)-Convexity
نویسندگان
چکیده
We focus our study to formulate two different types of second-order dual models for a nondifferentiable minimax fractional programming problem and derive duality theorems under (F, ρ)-convexity. Several results including many recent works are obtained as special cases.
منابع مشابه
Optimality Conditions and Duality in Nondifferentiable Minimax Fractional Programming with Generalized Convexity1
We establish sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems involving (F, α, ρ, d)convexity. Subsequently, we apply the optimality conditions to formulate two types of dual problems and prove appropriate duality theorems.
متن کاملDuality in Minimax Fractional Programming Problem Involving Nonsmooth Generalized (F,α,ρ,d)-Convexity
In this paper, we discuss nondifferentiable minimax fractional programming problem where the involved functions are locally Lipschitz. Furthermore, weak, strong and strict converse duality theorems are proved in the setting of Mond-Weir type dual under the assumption of generalized (F,α,ρ,d)-convexity.
متن کاملSecond-order duality for nondifferentiable minimax fractional programming problems with generalized convexity
*Correspondence: [email protected] Department of Mathematics, University of Tabuk, Tabuk, Kingdom of Saudi Arabia Abstract In the present paper, we are concerned with second-order duality for nondifferentiable minimax fractional programming under the second-order generalized convexity type assumptions. The weak, strong and converse duality theorems are proved. Results obtained in this paper ext...
متن کاملDuality in nondifferentiable minimax fractional programming with generalized convexity
A Mond–Weir type dual for a class of nondifferentiable minimax fractional programming problem is considered. Appropriate duality results are proved involving (F,a,q,d)-pseudoconvex functions. 2005 Elsevier Inc. All rights reserved.
متن کاملHigher-Order Duality in Nondifferentiable Minimax Programming with Generalized Type I Functions
A unified higher-order dual for a nondifferentiable minimax programming problem is formulated. Weak, strong and strict converse duality theorems are discussed involving generalized higher-order (F,α,ρ, d)-Type I functions.
متن کامل