Approximating solutions to a class of split feasibility problems in Banach spaces

The Journal of Analysis 2026 Open access

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Authors: Behzad Djafari Rouhani, Vahid Mohebbi, Simeon Reich
DOI: 10.1007/s41478-025-01003-7
Cited by: 0
References: 26

Abstract

Abstract We study the split common solution problem with multiple output sets for monotone operator equations in Banach spaces. We first show that any weak limit point of the sequence generated by our algorithm is a solution to the problem and then we establish the weak convergence of the sequence to a solution. Subsequently, using Halpern’s regularization method, we obtain the strong convergence of the sequence generated by a modified algorithm to a solution of the problem.

Fields of Study & Subjects

Optimization and Variational Analysis Fixed Point Theorems Analysis Advanced Optimization Algorithms Research

Publication details

Journal / source
The Journal of Analysis
Volume
34
Issue
1
Pages
145–166
Publication date
8 January 2026
Language
EN