On the Hölder continuity of approximate solutionmappings to parametric weak generalized Ky Fan Inequality

Zaiyun Peng; Xinmin Yang; Kok Lay Teo

doi:10.3934/jimo.2015.11.549

Article Contents

2015, Volume 11, Issue 2: 549-562. Doi: 10.3934/jimo.2015.11.549

This issue Previous Article A new method for strong-weak linear bilevel programming problem Next Article Optimality conditions for strong vector equilibrium problems under a weak constraint qualification

On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality

1.
College of Science, Chongqing JiaoTong University, Chongqing 400074
2.
Department of Mathematics, Chongqing Normal University, Chongqing, 400047
3.
Department of Mathematics and Statistics, Curtin University, Perth, W.A. 6845

Received: April 2013

Revised: April 2014

Published: April 2015

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Abstract

In this paper, by using a scalarization method, we establish sufficient conditions for Hölder continuity of approximate solution mapping to a class of parametric weak generalized Ky Fan Inequality with set-valued mappings. These results extend and improve some known results in the literature. Furthermore, some examples are given to illustrate the obtained results.

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Mathematics Subject Classification: 90C31, 91B50, 90C46.

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