Modified inertial subgradient extragradient method in reflexive Banach spaces

Bashir Ali, G. C. Ugwunnadi*, M. S. Lawan, A. R. Khan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study a modified inertial subgradient extragradient algorithm in reflexive Banach spaces and prove a strong convergence theorem for approximating common solutions of a fixed point equation of a demigeneralized mapping and a variational inequality problem of a monotone and Lipschitz mapping. Our result extends and improves important recent results announced by many authors.

Original languageEnglish
Article number30
JournalBoletin de la Sociedad Matematica Mexicana
Volume27
Issue number1
DOIs
Publication statusPublished - Mar 2021
Externally publishedYes

Keywords

  • Bregman Demigeneralized map
  • Bregman distance
  • Fixed point
  • Monotone map
  • Subgradient extragradient method

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