Second - Order Duality for Nondifferentiable Multiobjective Programming Involving ( , Ρ ) - Univexity
نویسندگان
چکیده
The concepts of ( , ρ)-invexity have been given by Carsiti,Ferrara and Stefanescu[32]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under appropriate second-order ( , ρ)-univexity conditions. AMS 2002 Subject Classification: 90C29, 90C30, 90C46.
منابع مشابه
Second Order Duality in Multiobjective Fractional Programming with Square Root Term under Generalized Univex Function
Three approaches of second order mixed type duality are introduced for a nondifferentiable multiobjective fractional programming problem in which the numerator and denominator of objective function contain square root of positive semidefinite quadratic form. Also, the necessary and sufficient conditions of efficient solution for fractional programming are established and a parameterization tech...
متن کاملMond-Weir type second order multiobjective mixed symmetric duality with square root term under generalized univex function
In this paper, a new class of second order ( , ) -univex and second order ( , ) pseudo univex function are introduced with example. A pair Mond-Weir type second order mixed symmetric duality for multiobjective nondifferentiable programming is formulated and the duality results are established under the mild assumption of second order ( , ) univexity and second order pseudo univexity...
متن کاملEfficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative
In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficien...
متن کاملSecond-Order Duality for Nondifferentiable Minimax Fractional Programming Involving (F, ρ)-Convexity
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.
متن کاملOn Nondifferentiable Higher-Order Symmetric Duality in Multiobjective Programming Involving Cones
In this paper, we point out some deficiencies in a recent paper (Lee and Kim in J. Nonlinear Convex Anal. 13:599–614, 2012), and we establish strong duality and converse duality theorems for two types of nondifferentiable higher-order symmetric duals multiobjective programming involving cones.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011