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| Volume 4, Number 1, January 2008, pp. 113-124 | ||||||||
| Xinmin Yang and Xiaoqi Yang | ||||||||
| Key words: | ||||||||
| first and second order dual models, duality theorems, nondifferentiable programming problems, generalized convexity | ||||||||
| Mathematices Subject Classification: 90C30, 90C46 | ||||||||
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| Abstract: | |||
| In this paper, first order and second order dual models for a class of nondifferentiable programming problems in which the objective function contains a support function of a compact convex set are formulated. Weak and converse duality theorems for the two dual models are established by using Fritz John necessary optimality conditions and some suitable conditions. | |||
| On duality for a class of nondifferentiable programming problems | ||