Convergence theorem for fixed point and split generalized variational inclusion problems with multiple output sets in Banach spaces

Olawale Kazeem Oyewole*, Hammed Anuoluwapo Abass, Kazeem Olalekan Aremu, Morufu Oyedunsi Olayiwola

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In the framework of p-uniformly convex uniformly and smooth Banach spaces, we introduce the split common generalized variational incusion problem with multiple output sets. Using a Halpern iterative method, we propose a strong convergence algorithm for approximating a common solution of this problem and fixed point of a Bregman firmly nonexpansive mapping. Furthermore, we give a theoretical application to split common minimization problem with multiple output sets. We also report some numerical examples to illustrate the performance of our proposed method.

Original languageEnglish
JournalRendiconti del Circolo Matematico di Palermo
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • Monotone
  • Projection
  • Reflexive Banach space
  • Strong convergence
  • Variational inclusion

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