Higher-order symmetric duality with cone constraints
نویسندگان
چکیده
منابع مشابه
Duality for second-order symmetric multiobjective programming with cone constraints
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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Article history: Received 10 October 2007 Accepted 24 August 2009 Available online 15 September 2009
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Abstract. We introduce two pairs of nondifferentiable multiobjective second order symmetric dual problems with cone constraints over arbitrary closed convex cones, which is different from the one proposed by Mishra and Lai [12]. Under suitable second order pseudo-invexity assumptions we establish weak, strong and converse duality theorems as well as self-duality relations. Our symmetric duality...
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*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...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2009
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.08.017