Necessary optimality conditions for a set‐valued fractional extremal programming problem under inclusion constraints

Necessary optimality conditions for a set‐valued fractional extremal programming problem under inclusion constraints

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Article ID: iaor20134058
Volume: 56
Issue: 2
Start Page Number: 489
End Page Number: 501
Publication Date: Jun 2013
Journal: Journal of Global Optimization
Authors: ,
Keywords: global optimization
Abstract:

In this paper, we are concerned with a set‐valued fractional extremal programming problem under inclusion constraints. Our approach consists of using the extremal principle (an approach initiated by Mordukhovich, which does not involve any convex approximations and convex separation arguments) for the study of necessary optimality conditions.

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