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Fixed point theorems for asymptotically contractive mappings

2004/05/10 by Tomonari Suzuki, Suzuki, Tomonari
Computer Science · Mathematics · #47H09 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA #msc:47H09

paper · pdf · doi:10.48550/arxiv.math/0405163

7 pages

arxiv created 2004/05/10 · openalex publication_date 2004/05/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math. Soc., 131 (2003), 2371--2377].

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