Inertial subgradient extragradient with projection method for solving variational inequality and fixed point problems

Rose Maluleka, Godwin Chidi Ugwunnadi*, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we introduce a new modified inertial Mann-type method that combines the subgradient extragradient method with the projection contraction method for solving quasimonotone variational inequality problems and fixed point problems in real Hilbert spaces. We establish strong convergence of the proposed method under some mild conditions without knowledge of the operator norm. Finally, we give numerical experiments to illustrate the efficiency of the method over the existing one in the literature.

Original languageEnglish
Pages (from-to)30102-30119
Number of pages18
JournalAIMS Mathematics
Volume8
Issue number12
DOIs
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • demimetric mapping
  • fixed point
  • quasimonotone operator
  • strong convergence
  • variational inequality problem

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