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Hölder Continuity of Solutions to Parametric Weak Generalized Ky Fan Inequality

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Abstract

In this paper, by using a scalarization technique, we obtain sufficient conditions for Hölder continuity of the solution mapping for a parametric weak generalized Ky Fan Inequality in the case where the solution mapping is a general set-valued one. The result is different from the recent ones in the literature.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, China

    S. J. Li & X. B. Li

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  1. S. J. Li
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  2. X. B. Li
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Correspondence to S. J. Li.

Additional information

This research was partially supported by the National Natural Science Foundation of China (Grant number: 10871216), the Ph.D. Programs Foundation of Ministry of Education of China (Grant number: 20100191120043) and Chongqing University Postgraduates Science and Innovation Fund (Project Number: 201005B1A0010338). The authors thank the anonymous referees for valuable comments and suggestions, which helped to improve the paper. The authors also thank Professor F. Giannessi for helpful comments on a final version of this paper.

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Li, S.J., Li, X.B. Hölder Continuity of Solutions to Parametric Weak Generalized Ky Fan Inequality. J Optim Theory Appl 149, 540–553 (2011). https://doi.org/10.1007/s10957-011-9803-9

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