An Inexact Proximal Method with Proximal Distances for Quasimonotone Equilibrium Problems

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

作者机构：Coordenação dos Programas de Pós-gaduação em Engenharia-Programa de Engenharia de Sistemas e ComputaçãoFederal University of Rio de JaneiroRio of JaneiroBrazil Mayor de San Marcos National UniversityLimaPeru 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2017年第5卷第4期

页      面：545-561页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：Equilibrium problems Quasimonotonicity Proximal distance Proximal method 

摘      要：In this paper,we propose an inexact proximal point method to solve equilibrium problems using proximal distances and the diagonal *** 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.