Solving split equality fixed point of nonexpansive semigroup and split equality minimization problems in real hilbert space

Hammed Anuoluwapo Abass; Ojen Kumar Narain

Author(s)

Hammed Anuoluwapo Abass School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa.; DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS); Department of Mathematics and Applied Mathematics, Sefako Makgato Health Science University , P.O. Box 94, Pretoria 0204, South Africa.

Ojen Kumar Narain School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa.

Abstract

In this article, we study the split equality problem involving nonexpansive semigroup and convex minimization problem. Using a Halpern iterative algorithm, we establish a strong convergence result for approximating a common solution of the aforementioned problems. The iterative algorithm introduced in this paper is designed in such a way that it does not require the knowledge of the operator norm. We display a numerical example to show the relevance of our result. Our result complements and extends some related results in literature.

Publication Details

Page(s) 1-13

DOI DOI not available

Published Journal: Journal of Prime Research in Mathematics, Volume: 19, Issue: 1, Year: 2023

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Keywords

2010 MSC, 47J05, 47H09, 47H06, Fixed point problem, 47J25, Iterative scheme, Split equality minimization problem, semigroup nonexpansive

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