Existence results for equilibrium problems under strong sign property

Document Type : Research Paper

Authors
Department of Mathematics, Razi University, Kermanshah
Abstract
This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of  upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some existence results for the relaxed $\mu$-quasimonotone equilibrium problems in the literature.
Keywords

Volume 8, Issue 1
July 2017
Pages 165-176

  • Receive Date 04 July 2015
  • Revise Date 03 November 2015
  • Accept Date 10 November 2015

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