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A strong convergence theorem for quasi-equilibrium problems in Banach spaces

Acta Mathematica Scientia volume 42, pages 221–232 (2022)Cite this article

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Payame Noor University, Tehran, Iran

    Mehdi Mohammadi

  2. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

    G. Zamani Eskandani

Authors
  1. Mehdi Mohammadi
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  2. G. Zamani Eskandani
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Corresponding author

Correspondence to Mehdi Mohammadi.

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Mohammadi, M., Eskandani, G.Z. A strong convergence theorem for quasi-equilibrium problems in Banach spaces. Acta Math Sci 42, 221–232 (2022). https://doi.org/10.1007/s10473-022-0112-1

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  • DOI: https://doi.org/10.1007/s10473-022-0112-1

Key words

  • demiclosed, extragradient algorithm
  • quasi-equilibrium problem
  • quasi φ-non-expansive mapping
  • strong convergence

2010 MR Subject Classification

  • 90C25
  • 90C30