SECOND-ORDER SYMMETRIC DUALITY IN MULTIOBJECTIVE PROGRAMMING OVER CONES
نویسندگان
چکیده
منابع مشابه
Nondifferentiable 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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In this paper, a new pair of Mond-Weir type multiobjective second-order symmetric dual models with cone constraints is formulated in which the objective function is optimised with respect to an arbitrary closed convex cone. Usual duality relations are further established under K-η-bonvexity/second-order symmetric dual K-H-convexity assumptions. A nontrivial example has also been illustrated to ...
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⎯In this paper, we construct a pair of Mond-Weir type second order symmetric dual problems, in which the objective function contains support function and is, therefore, nondifferentiable. For this pair of problems, we validate weak, strong and converse duality theorems under pseudobonvexity – pseudoboncavity assumption on the kernel function that appears in the problems. A second order self dua...
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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2016
ISSN: 0304-9914
DOI: 10.4134/jkms.2016.53.1.019