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2012 LIPSCHITZ CONTINUITY OF AN APPROXIMATE SOLUTION MAPPING TO EQUILIBRIUM PROBLEMS
X. B. Li, S. J. Li, C. R. Chen
Taiwanese J. Math. 16(3): 1027-1040 (2012). DOI: 10.11650/twjm/1500406677

Abstract

In this paper, with respect to Hausdorff metric, we establish the Lipschitz continuity of an approximate solution mapping for a parametric scalar equilibrium problem. Simultaneously, we give some applications to parametric optimization problems and parametric variational inequalities. Our main results are new and strengthen some results in the recent literature.

Citation

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X. B. Li. S. J. Li. C. R. Chen. "LIPSCHITZ CONTINUITY OF AN APPROXIMATE SOLUTION MAPPING TO EQUILIBRIUM PROBLEMS." Taiwanese J. Math. 16 (3) 1027 - 1040, 2012. https://doi.org/10.11650/twjm/1500406677

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1245.26004
MathSciNet: MR2917254
Digital Object Identifier: 10.11650/twjm/1500406677

Subjects:
Primary: 26A16 , 74H55 , 74P10

Keywords: approximate solution mapping , Hausdorff metric , Lipschitz continuity , parametric equilibrium problems

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 3 • 2012
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