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Lower Semicontinuity of the Solution Mappings to a Parametric Generalized Ky Fan Inequality

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Abstract

In this paper, we investigate weak vector solutions and global vector solutions to a generalized Ky Fan inequality. Under new assumptions, which are weaker than the assumption of strict C-mappings, we establish the lower semicontinuity of the solution mappings to a parametric generalized Ky Fan inequality by using a scalarization method. These results extend the corresponding ones in the literature. Some examples are given to illustrate our results.

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Authors and Affiliations

  1. College of Mathematics and Science, Chongqing University, Chongqing, 400044, China

    S. J. Li & Z. M. Fang

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  1. S. J. Li
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  2. Z. M. Fang
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Correspondence to S. J. Li.

Additional information

Communicated by F. Giannessi.

This research was partially supported by the National Natural Science Foundation of China (Grant number: 10871216), Chongqing University Postgraduates Science and Innovation Fund (Project Number: 201005B1A0010338) and Innovative Talent Training Project, the Third Stage of “211 Project”, Chongqing University (Project number: S-09110). The authors would like to thank Professor Franco Giannessi for valuable comments and suggestions, which helped to improve the paper.

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Li, S.J., Fang, Z.M. Lower Semicontinuity of the Solution Mappings to a Parametric Generalized Ky Fan Inequality. J Optim Theory Appl 147, 507–515 (2010). https://doi.org/10.1007/s10957-010-9736-8

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  • DOI: https://doi.org/10.1007/s10957-010-9736-8

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