Nonconical nonsmooth multiobjective programming: Optimality conditions and duality theorems

Nonconical nonsmooth multiobjective programming: Optimality conditions and duality theorems

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Article ID: iaor2000505
Country: China
Volume: 11
Issue: 1
Start Page Number: 61
End Page Number: 68
Publication Date: Jan 1998
Journal: Journal of Systems Science and Complexity
Authors:
Keywords: duality
Abstract:

This paper deals with the nonconical nonsmooth multiobjective programming problem. The generalized directional derivate of a mapping with respect to a binary relation and the derivate of a binary relation are introduced and used as basic tools. The optimality conditions and duality theorems are proved.

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