A new approximation scheme for solving various split inverse problems

A. Taiwo, A. O.E. Owolabi, L. O. Jolaoso, O. T. Mewomo, A. Gibali*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In this paper, we study the split equality problem for systems of monotone variational inclusions and fixed point problems of set-valued demi-contractive mappings in real Hilbert spaces. A new viscosity algorithm for solving this problem is introduced along with its strong convergence theorem. Several known theoretical applications, such as, split common null point problem for systems of monotone variational inclusions and fixed point problems, split equality saddle-point and fixed point problem are given. Two primary numerical examples which illustrate and compare the behavior of the new scheme, suggest that the method has a potential applicable value besides its theoretical generalization. Our work extends and generalizes some existing works in the literature as well as provide some new direction for future work.

Original languageEnglish
Pages (from-to)369-401
Number of pages33
JournalAfrika Matematika
Volume32
Issue number3-4
DOIs
Publication statusPublished - Jun 2021
Externally publishedYes

Keywords

  • Demi-contractive mapping
  • Variational inclusion problem
  • Viscosity approximation algorithm

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