Common fixed points of commutative semigroups of nonexpansive mappings

2004/04/23 by T. Suzuki, Tomonari Suzuki, Suzuki, T.
Computer Science · Mathematics · #47H20 #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA #msc:47H20

paper · pdf · doi:10.48550/arxiv.math/0404428

18 pages

arxiv created 2004/04/23 · openalex publication_date 2004/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss characterizations of common fixed points of commutative semigroups of nonexpansive mappings. We next prove convergence theorems to a common fixed point. We finally discuss nonexpansive retractions onto the set of common fixed points. In our discussion, we may not assume the strict convexity of the Banach space.

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