Takahashi, Wataru A convexity in metric space and nonexpansive mappings. I. (English) Zbl 0268.54048 Kōdai Math. Semin. Rep. 22, 142-149 (1970). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 34 ReviewsCited in 261 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems 54E35 Metric spaces, metrizability PDFBibTeX XMLCite \textit{W. Takahashi}, Kōdai Math. Semin. Rep. 22, 142--149 (1970; Zbl 0268.54048) Full Text: DOI References: [1] BROWDER, F. E., Nonexpansive nonlinear operators in a Banach space. Proc. Nat. Acad. Sci. U. S. A. 54 (1965), 1041-1044. · Zbl 0128.35801 · doi:10.1073/pnas.54.4.1041 [2] DAY, M. M., Amenable semigroup. Illinois J. Math. 1 (1957), 509-544 · Zbl 0078.29402 [3] DAY, M. M., Fixed point theorems for compact convex sets. Illinois J. Math. (1961), 585-590. · Zbl 0097.31705 [4] DE MARR, R., Common fixed-points for commuting contraction mappings. Pacifi J. Math. 13 (1963), 1139-1141. · Zbl 0191.14901 · doi:10.2140/pjm.1963.13.1139 [5] DUNFORD, N., AND J. T. SCHWARTZ, Linear operators, Part 1. Interscience, Ne York (1958). [6] KIRK, W. A., A fixed point theorem for mappings which do not increase dis tances. Amer. Math. Monthly 72 (1965), 1004-1006. · Zbl 0141.32402 · doi:10.2307/2313345 [7] TAKAHASHI, W., Fixed point theorem for amenable semigroup of nonexpansiv mappings. Kodai Math. Sem. Rep. 21 (1969), 383-386. · Zbl 0197.11805 · doi:10.2996/kmj/1138845984 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.