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

Yangdong Xu; Shengjie Li

doi:10.3934/jimo.2016056

Article Contents

2017, Volume 13, Issue 2: 967-975. Doi: 10.3934/jimo.2016056

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

Yangdong Xu^a, , and
Shengjie Li^b,

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
¹Corresponding author

Received: November 30, 2014

Revised: May 31, 2016

Published: August 2017

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Abstract

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.

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Mathematics Subject Classification: 90C26, 90C46.

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References

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