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| Weak convergence theorems for a finite family of monotone nonexpansive mappings in Banach spaces | |
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Fixed Point Theory, Volume 26, No. 2, 2025, 397-408, May 1st, 2025 DOI: 10.24193/fpt-ro.2025.2.05 Authors: Sachiko Atsushiba Abstract: In this paper, we prove weak convergence theorems for finite monotone nonexpansive mappings in uniformly convex Banach spaces endowed with a partial order. Key Words and Phrases: Fixed point, monotone mapping, nonexpansive mapping,weak convergence theorem, ordered Banach space, uniformly convex Banach space. 2010 Mathematics Subject Classification: 47H05, 47H07, 47H09, 47H10, 47H25. Published on-line: May 1st, 2025. |