# American Institute of Mathematical Sciences

April  2015, 11(2): 549-562. doi: 10.3934/jimo.2015.11.549

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

 1 College of Science, Chongqing JiaoTong University, Chongqing 400074, China 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  September 2014

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.
Citation: Zaiyun Peng, Xinmin Yang, Kok Lay Teo. On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality. Journal of Industrial & Management Optimization, 2015, 11 (2) : 549-562. doi: 10.3934/jimo.2015.11.549
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