Local Uniqueness of Solutions to Ky Fan Vector Inequalities using Approximations as Derivatives

Local Uniqueness of Solutions to Ky Fan Vector Inequalities using Approximations as Derivatives

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Article ID: iaor20128236
Volume: 155
Issue: 3
Start Page Number: 840
End Page Number: 854
Publication Date: Dec 2012
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: approximation, Ky Fan inequality
Abstract:

We establish sufficient conditions for the local uniqueness of solutions to Ky Fan vector strong and weak inequalities. By using approximations as generalized derivatives, our results are valid even in cases where the maps involved in the problems suffer infinite discontinuity at the considered point. Corollaries and examples show that the results extend and improve existing ones in the literature.

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