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

P. Q. Khanh () and L. T. Tung ()
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P. Q. Khanh: International University of Hochiminh City
L. T. Tung: Cantho University

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 3, No 6, 840-854

Abstract: 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.

Keywords: Local uniqueness; Ky Fan vector strong and weak inequalities; Approximations (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0075-9

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