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A KM-BASED ITERATION FOR A SPLIT FEASIBILITY PROBLEM IN HILBERT SPACES
- Authors
- Cho, Sun Young; Shang, Meijuan
- Issue Date
- Dec-2024
- Publisher
- Mathematical Research Press
- Keywords
- Common fixed point; Monotone operators; Split feasibility problem; Weak convergence
- Citation
- Journal of Nonlinear Functional Analysis, v.2024
- Indexed
- SCOPUS
ESCI
- Journal Title
- Journal of Nonlinear Functional Analysis
- Volume
- 2024
- ISSN
- 2052-532X
2052-532X
- Abstract
- In this paper, we investigate a split feasibility problem from the prospective of fixed points. We introduce a KM-based iteration and investigate its convergence. We obtain a weakly convergent theorem of common solutions to the split feasibility problem and a common fixed point problem of an infinite family of nonexpansive mappings in the framework of Hilbert spaces. © 2024 Journal of Nonlinear Functional Analysis.
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