Higher order symmetric duality in nondifferentiable multiobjective programming problems involving cones
نویسندگان
چکیده
منابع مشابه
On 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 کاملSymmetric duality for a higher-order nondifferentiable multiobjective programming problem
*Correspondence: [email protected] 1Department of Mathematics, Indian Institute of Technology, Roorkee, 247 667, India Full list of author information is available at the end of the article Abstract In this paper, a pair of Wolfe type higher-order nondifferentiable symmetric dual programs over arbitrary cones has been studied and then well-suited duality relations have been established consider...
متن کاملHigher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions
A pair of Mond–Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K –F-convexity assumptions. Our results generalize several known results in the literature.
متن کاملNondifferentiable second order symmetric duality in multiobjective programming
A pair of Mond–Weir type nondifferentiable multiobjective second order symmetric dual programs is formulated and symmetric duality theorems are established under the assumptions of second order F-pseudoconvexity/ F-pseudoconcavity. © 2005 Elsevier Ltd. All rights reserved.
متن کاملSecond order symmetric duality in nondifferentiable multiobjective programming
A pair of Mond–Weir type second order symmetric nondifferentiable multiobjective programs is formulated. Weak, strong and converse duality theorems are established under g-pseudobonvexity assumptions. Special cases are discussed to show that this paper extends some work appeared in this area. 2004 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2013
ISSN: 1674-7216
DOI: 10.1360/012011-914