Viscosity Approximation Method for Solving the Multiple-Set Split Equality Common Fixed-Point Problems for Quasi-pseudocontractive Mappings in Hilbert Spaces

Adeolu Taiwo*, Lateef Olakunle Jolaoso, Oluwatosin Temitope Mewomo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We propose a parallel iterative scheme with viscosity approximation method which converges strongly to a solution of the multiple-set split equality common fixed point problem for quasi-pseudocontractive mappings in real Hilbert spaces. We also give an application of our result to approximation of minimization problem from intensity-modulated radiation therapy. Finally, we present numerical examples to demonstrate the behaviour of our algorithm. This result improves and generalizes many existing results in literature in this direction.

Original languageEnglish
Pages (from-to)2733-2759
Number of pages27
JournalJournal of Industrial and Management Optimization
Volume17
Issue number5
DOIs
Publication statusPublished - Sep 2021
Externally publishedYes

Keywords

  • Lipschitzian quasi-pseudocontractive mapping
  • Split equality common fixed point problem
  • viscosity approximation

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