A generalized viscosity inertial projection and contraction method for pseudomonotone variational inequality and fixed point problems

Lateef Olakunle Jolaoso*, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We introduce a new projection and contraction method with inertial and self-adaptive techniques for solving variational inequalities and split common fixed point problems in real Hilbert spaces. The stepsize of the algorithm is selected via a self-adaptive method and does not require prior estimate of norm of the bounded linear operator. More so, the cost operator of the variational inequalities does not necessarily needs to satisfies Lipschitz condition. We prove a strong convergence result under some mild conditions and provide an application of our result to split common null point problems. Some numerical experiments are reported to illustrate the performance of the algorithm and compare with some existing methods.

Original languageEnglish
Article number2039
Pages (from-to)1-29
Number of pages29
JournalMathematics
Volume8
Issue number11
DOIs
Publication statusPublished - Nov 2020

Keywords

  • Extragradient method
  • Fixed point
  • Pseudomonotone
  • Self adaptive stepsize
  • Strong convergence
  • Variational inequalities

Fingerprint

Dive into the research topics of 'A generalized viscosity inertial projection and contraction method for pseudomonotone variational inequality and fixed point problems'. Together they form a unique fingerprint.

Cite this