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Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem

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An Erratum to this article was published on 04 July 2014

Abstract

This paper deals with the stability for a parametric generalized strong vector equilibrium problem. Under new assumptions, which do not contain any information about the solution set and monotonicity, we establish the lower semicontinuity and upper semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem by using a scalarization method and a density result. These results are improve the corresponding ones in recent literature. Some examples are given to illustrate our results.

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Authors and Affiliations

  1. College of Sciences, Chongqing Jiaotong University, Chongqing , 400074, China

    Q. L. Wang, Z. Lin & X. B. Li

Authors
  1. Q. L. Wang
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  2. Z. Lin
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  3. X. B. Li
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Corresponding author

Correspondence to Q. L. Wang.

Additional information

This research was partially supported by Chongqing Natural Science Foundation Project of CQ CSTC (No. cstc2011jjA00013), the National Natural Science Foundation of China (Nos. 11171362, 11271389, 11201509 and 11301571) and Science and Technology Research Project of Chongqing Municipal Education Commission (KJ130414).

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Wang, Q.L., Lin, Z. & Li, X.B. Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem. Positivity 18, 733–748 (2014). https://doi.org/10.1007/s11117-014-0273-9

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