数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 221-232.doi: 10.1007/s10473-022-0112-1

• 论文 • 上一篇    下一篇

A STRONG CONVERGENCE THEOREM FOR QUASI-EQUILIBRIUM PROBLEMS IN BANACH SPACES

Mehdi MOHAMMADI1, G. Zamani ESKANDANI2   

  1. 1. Department of Mathematics, Payame Noor University, Tehran, Iran;
    2. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  • 收稿日期:2020-07-24 修回日期:2020-11-18 出版日期:2022-02-25 发布日期:2022-02-24
  • 通讯作者: Mehdi MOHAMMADI,E-mail:mehdi.mohammadi5677@gmail.com E-mail:mehdi.mohammadi5677@gmail.com
  • 作者简介:G. Zamani ESKANDANI,E-mail:zamani@tabrizu.ac.ir

A STRONG CONVERGENCE THEOREM FOR QUASI-EQUILIBRIUM PROBLEMS IN BANACH SPACES

Mehdi MOHAMMADI1, G. Zamani ESKANDANI2   

  1. 1. Department of Mathematics, Payame Noor University, Tehran, Iran;
    2. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
  • Received:2020-07-24 Revised:2020-11-18 Online:2022-02-25 Published:2022-02-24
  • Contact: Mehdi MOHAMMADI,E-mail:mehdi.mohammadi5677@gmail.com E-mail:mehdi.mohammadi5677@gmail.com

摘要: In this paper, we study an extragradient algorithm for approximating solutions of quasi-equilibrium problems in Banach spaces. We prove strong convergence of the sequence generated by the extragradient method to a solution of the quasi-equilibrium problem.

关键词: demiclosed, extragradient algorithm, quasi-equilibrium problem, quasi φ-non-expansive mapping, strong convergence

Abstract: In this paper, we study an extragradient algorithm for approximating solutions of quasi-equilibrium problems in Banach spaces. We prove strong convergence of the sequence generated by the extragradient method to a solution of the quasi-equilibrium problem.

Key words: demiclosed, extragradient algorithm, quasi-equilibrium problem, quasi φ-non-expansive mapping, strong convergence

中图分类号: 

  • 90C25