Higher-order symmetric duality under cone-invexity and other related concepts
نویسندگان
چکیده
منابع مشابه
Multiobjective Mixed Symmetric Duality with Invexity
The usual duality results are established for mixed symmetric multiobjective dual programs without nonnegativity constraints using the notion of invexity/ generalized invexity which has allowed weakening various types of convexity/ generalized convexity assumptions. This mixed symmetric dual formulation unifies two existing symmetric dual formulations in the literature.
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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 کاملDuality 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 ...
متن کاملOn multiobjective second order symmetric duality with cone constraints
Article history: Received 10 October 2007 Accepted 24 August 2009 Available online 15 September 2009
متن کاملMultiobjective second order symmetric duality with cone constraints
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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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2014
ISSN: 0377-0427
DOI: 10.1016/j.cam.2013.07.003