An inertial forward-backward splitting method for approximating solutions of certain optimization problems

H. A. Abass, K. O. Aremu, L. O. Jolaoso, O. T. Mewomo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

The purpose of this paper is to introduce an inertial-type iterative algorithm for approximating solutions of a split general system of variational inequalities, minimization problems and fixed point problems of a finite family of quasi-nonexpansive mappings. We prove a strong convergence theorem in the framework of real Hilbert spaces. An application to split feasibility problems is also presented. A numerical example is provided to show the applicability of our main results.

Original languageEnglish
Article number6
JournalJournal of Nonlinear Functional Analysis
Volume2020
DOIs
Publication statusPublished - 2020
Externally publishedYes

Keywords

  • Fixed point problem
  • Inertial iterative scheme
  • Minimization problem
  • Split general system of variational inequalities

Fingerprint

Dive into the research topics of 'An inertial forward-backward splitting method for approximating solutions of certain optimization problems'. Together they form a unique fingerprint.

Cite this