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Continuity of solution mappings for parametric generalized set-valued weak vector equilibrium problems

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Abstract

This paper obtains some stability results for parametric generalized set-valued weak vector equilibrium problem. Under new assumptions, which do not contain any information about solution mappings, the authors establish the continuity of the solution mapping to a parametric generalized set-valued weak vector equilibrium problem without monotonicity. These results extend and improve some results in the literature. Some examples are given to illustrate the results.

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Author information

Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing JiaoTong University, Chongqing, 400074, China

    Zaiyun Peng

  2. Department of Mathematics, Sichuan University, Chengdu, 610065, China

    Yong Zhao

  3. Department of Mathematics, Chongqing Normal University, Chongqing, 400047, China

    Xinmin Yang

Authors
  1. Zaiyun Peng
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  2. Yong Zhao
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  3. Xinmin Yang
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Corresponding author

Correspondence to Zaiyun Peng.

Additional information

This research was supported by the Natural Science Foundation of China under Grant Nos. 11301571, 11431004, the Natural Science Foundation of Chongqing under Grant No. cstc2014pt-sy00001, the Basic and Advanced Research Project of Chongqing under Grant No. cstc2015jcyjA00025, the China Postdoctoral Science Foundation Funded Project under Grant Nos. 2016T90837, 2015M580774, and the Program for University Innovation Team of Chongqing under Grant No. CXTDX201601022.

This paper was recommended for publication by Editor WANG Shouyang.

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Peng, Z., Zhao, Y. & Yang, X. Continuity of solution mappings for parametric generalized set-valued weak vector equilibrium problems. J Syst Sci Complex 30, 378–391 (2017). https://doi.org/10.1007/s11424-017-4251-8

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  • DOI: https://doi.org/10.1007/s11424-017-4251-8

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