SOLVING MULTIPLE-SETS SPLIT MONOTONE VARIATIONAL INCLUSION PROBLEM IN REAL HILBERT SPACES.

Hammed Anuoluwapo Abass*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study and introduce a self adaptive method together with a Halpern iterative algorithm for approximating solutions of multiple-sets split monotone variational inclusion problem which includes the multiple-sets split feasibility problem, split feasibility problem, split monotone variational inclusion problem and split variational inclusion problem, to mention a few. Using our iterative algorithm, we prove a strong convergence result for approximating the solution of the aforementioned problems. Numerical examples on finite-dimensional and infinite-dimensional spaces are displayed to illustrate the performance of our iterative method. The result discussed in this article extends and complements many related results in literature.

Original languageEnglish
Pages (from-to)535-553
Number of pages19
JournalAnnals of the Academy of Romanian Scientists: Series on Mathematics and its Applications
Volume15
Issue number1-2
Publication statusPublished - 2023
Externally publishedYes

Keywords

  • Halpern method
  • Iterative method
  • Multiple-sets split monotone variational problem
  • fixed point problems

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