## Properties of fixed-point sets of nonexpansive mappings in Banach spaces.(English)Zbl 0265.47043

### MSC:

 47H10 Fixed-point theorems
Full Text:

### 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
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