Optimality conditions and duality for a class of non differentiable multi-objective fractional programming problems

Optimality conditions and duality for a class of non differentiable multi-objective fractional programming problems

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Article ID: iaor20083405
Country: Netherlands
Volume: 38
Issue: 4
Start Page Number: 653
End Page Number: 666
Publication Date: Aug 2007
Journal: Journal of Global Optimization
Authors: ,
Keywords: programming: multiple criteria
Abstract:

A class of multi-objective fractional programming problems (MFP) are considered where the involved functions are locally Lipschitz. In order to deduce our main results, we give the definition of the generalized (F,θ,ρ,d)-convex class about the Clarke's generalized gradient. Under the above generalized convexity assumption, necessary and sufficient conditions for optimality are given. Finally, a dual problem corresponding to (MFP) is formulated, appropriate dual theorems are proved.

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