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

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 languageEnglish
Pages (from-to)545-561
Number of pages17
JournalJournal of the Operations Research Society of China
Volume5
Issue number4
DOIs
StatePublished - 1 Dec 2017

Bibliographical note

Funding Information:
L. Mallma Ramirez’s research was supported by Coordenação de Aperfeiçoamento de Pessoal de Nivel Superior(CAPES). The research of the E. A. Papa Quiroz was supported by the Postdoctoral Scholarship CAPES-Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (No. EditalPAPD-2011), and P. R. Oliveira’s research was partially supported by Conselho Nacional de Desemvolvimento Científico e Tecnológico.

Publisher Copyright:
© 2017, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag Berlin Heidelberg.

Keywords

  • Equilibrium problems
  • Proximal distance
  • Proximal method
  • Quasimonotonicity

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