An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems  

作　　者：Lennin Mallma Ramirez Erik Alex Papa Quiroz P.R.Oliveira 

机构地区：[1]Coordenação dos Programas de Pós-gaduação em Engenharia-Programa de Engenharia de Sistemas e Computação,Federal University of Rio de Janeiro,Rio of Janeiro,Brazil [2]Mayor de San Marcos National University,Lima,Peru

出　　处：《Journal of the Operations Research Society of China》2017年第4期545-561,共17页中国运筹学会会刊（英文）

基　　金：the E.A.Papa Quiroz was supported by the Postdoctoral Scholarship CAPES-Fundação de AmparoàPesquisa do Estado do Rio de Janeiro(No.EditalPAPD-2011);P.R.Oliveira’s research was partially supported by Conselho Nacional de Desemvolvimento Científico e Tecnológico.

摘　　要：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.

关 键 词：Equilibrium problems Quasimonotonicity Proximal distance Proximal method 

分 类 号：O17[理学—数学]