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

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 poin...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2012-12, Vol.155 (3), p.840-854
Main Authors: Khanh, P. Q., Tung, L. T.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Approximation
Calculus of Variations and Optimal Control
Optimization
Derivatives
Discontinuity
Engineering
Equilibrium
Inequalities
Mathematical analysis
Mathematical programming
Mathematics
Mathematics and Statistics
Neighborhoods
Operations Research/Decision Theory
Optimization
Studies
Theorems
Theory of Computation
Uniqueness
Vector space
Vectors (mathematics)
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Description
Summary: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.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-012-0075-9