Bruck, Ronald E. jun. Properties of fixed-point sets of nonexpansive mappings in Banach spaces. (English) Zbl 0265.47043 Trans. Am. Math. Soc. 179, 251-262 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 208 Documents MSC: 47H10 Fixed-point theorems × Cite Format Result Cite Review PDF Full Text: DOI References: [1] L. P. Belluce and W. A. Kirk, Fixed-point theorems for families of contraction mappings, Pacific J. Math. 18 (1966), 213 – 217. · Zbl 0149.10701 [2] L. P. Belluce and W. A. Kirk, Nonexpansive mappings and fixed-points in Banach spaces, Illinois J. Math. 11 (1967), 474 – 479. · Zbl 0149.10702 [3] M. S. Brodskiĭ and D. P. Mil\(^{\prime}\)man, On the center of a convex set, Doklady Akad. Nauk SSSR (N.S.) 59 (1948), 837 – 840 (Russian). [4] Ronald E. Bruck Jr., Nonexpansive retracts of Banach spaces, Bull. Amer. Math. Soc. 76 (1970), 384 – 386. · Zbl 0224.47034 [5] Ralph DeMarr, Common fixed points for commuting contraction mappings, Pacific J. Math. 13 (1963), 1139 – 1141. · Zbl 0191.14901 [6] Michael Edelstein, On nonexpansive mappings, Proc. Amer. Math. Soc. 15 (1964), 689 – 695. · Zbl 0124.16004 [7] W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004 – 1006. · Zbl 0141.32402 · doi:10.2307/2313345 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.