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April  2017, 13(2): 967-975. doi: 10.3934/jimo.2016056

## Continuity of the solution mappings to parametric generalized non-weak vector Ky Fan inequalities

 a. College of Sciences, Chongqing University of Posts and Telecommunications, Chongqing 400065, China b. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

1Corresponding author

Received  December 2014 Revised  June 2016 Published  August 2016

In this paper, by using the nonlinear scalarization method and under some new assumptions, which do not involve any information on the solution set, we establish the continuity of solution mappings of parametric generalized non-weak vector Ky Fan inequality with moving cones. The results are new and improve corresponding ones in the literature. Some examples are given to illustrate our results.

Citation: Yangdong Xu, Shengjie Li. Continuity of the solution mappings to parametric generalized non-weak vector Ky Fan inequalities. Journal of Industrial & Management Optimization, 2017, 13 (2) : 967-975. doi: 10.3934/jimo.2016056
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