Hölder continuity of solution maps to a parametric weak vector equilibrium problem

Document Type : Research Paper

Authors

1 Program in Mathematics‎, ‎Pibulsongkram Rajabhat University‎, ‎Phitsanulok‎, ‎Thailand.

2 Department of Mathematics,Naresuan University‎, ‎Phitsanulok‎, ‎Thailand.

Abstract

In this paper, by using a new concept of strong convexity, we obtain sufficient conditions for Holder continuity of the solution mapping for a parametric weak vector equilibrium problem in the case where the solution mapping is a general set-valued one. Without strong monotonicity assumptions, the Holder continuity for solution maps to parametric weak vector optimization problems is discussed.

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References

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Bulletin of the Iranian Mathematical Society
Volume 43, Issue 6
November 2017
Pages 1751-1767

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History

  • Receive Date: 24 November 2015
  • Revise Date: 16 October 2016
  • Accept Date: 17 October 2016

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