Skip to content

Abdellah Bnouhachem, A self-adaptive iterative method for a split equality problem

Full Text: PDF
DOI: 10.23952/asvao.6.2024.2.06
Volume 6, Issue 2, 1 August 2024, Pages 217-231

 

Abstract. The purpose of this paper is to introduce an iterative algorithm for the split equality problem with an equilibrium problem, a variational inequality problem, and a fixed point problem of nonexpansive semigroups. We establish a strong convergence theorem of common solutions by the uniformly continuity rather than the Lipchitz continuity of the mappings in real Hilbert spaces. The proposed algorithm only requires one projection each per iteration onto the feasible sets. We also propose a self-adaptive technique that generates non-monotonic sequence of step sizes. Finally, we present a numerical example to illustrate the significance and efficient performance of our algorithm. Our results develop and unify several optimization results in the literature.

 
How to Cite this Article:
A. Bnouhachem, A self-adaptive iterative method for a split equality problem, Appl. Set-Valued Anal. Optim. 6 (2024), 217-231.