Graphical Ekeland’s principle for equilibrium problems

Alfuraidan, Monther; Khamsi, Mohamed

doi:10.1090/bproc/117

Graphical Ekeland’s principle for equilibrium problems
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by Monther Rashed Alfuraidan and Mohamed Amine Khamsi HTML | PDF

Proc. Amer. Math. Soc. Ser. B 9 (2022), 33-40

Abstract:

In this paper, we give a graphical version of the Ekeland’s variational principle (EVP) for equilibrium problems on weighted graphs. This version generalizes and includes other equilibrium types of EVP such as optimization, saddle point, fixed point and variational inequality ones. We also weaken the conditions on the class of bifunctions for which the variational principle holds by replacing the strong triangle inequality property by a below approximation of the bifunctions.

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