Multiple Split Equality Problem and Convergence Result

Abstract

Let $H_i$ (where $i = 1, ..., m$) be Hilbert spaces, and let $H$ be another Hilbert space. Let $A_i: H_i \to H$ be bounded linear operators for $i = 1, ..., m$. We introduce the Multiple Split Equality Problem (MSEP), provide an algorithm for constructing a solution to MSEP, and establish the strong convergence of the algorithm to such a solution.