An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

Lennin Mallma Ramirez, Erik Alex Papa Quiroz, P. R. Oliveira

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

© 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg. In this paper, we propose an inexact proximal point method to solve equilibrium problems using proximal distances and the diagonal subdifferential. Under some natural assumptions on the problem and the quasimonotonicity condition on the bifunction, we prove that the sequence generated by the method converges to a solution point of the problem.
Original languageAmerican English
Pages (from-to)545-561
Number of pages17
JournalJournal of the Operations Research Society of China
DOIs
StatePublished - 1 Dec 2017

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