Journal of Prime Research in Mathematics

Solving Split Equality Fixed Point of Nonexpansive Semigroup and split equality minimization Problems in real Hilbert Space

Hammed Anuoluwapo Abass\(^{a,b,c*}\), Ojen Kumar Narain\(^a\)

\(^a\)School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa.

\(^b\)DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS).

\(^c\)Department of Mathematics and Applied Mathematics, Sefako Makgato Health Science University , P.O. Box 94, Pretoria 0204, South Africa.


Correspondence should be addressed to: :,


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


Split equality minimization problem; semigroup nonexpansive; iterative scheme; Fixed point problem.