A note on fixed point theorems for a family of nonexpansive mappings.

A note on fixed point theorems for a family of nonexpansive mappings.
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Proc. Amer. Math. Soc. 19 (1968), 1223-1224 Request permission

References

L. P. Belluce and W. A. Kirk, Fixed-point theorems for families of contraction mappings, Pacific J. Math. 18 (1966), 213–217. MR 199703, DOI 10.2140/pjm.1966.18.213
Felix E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041–1044. MR 187120, DOI 10.1073/pnas.54.4.1041
F. E. Browder and W. V. Petryshyn, The solution by iteration of linear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 566–570. MR 190744, DOI 10.1090/S0002-9904-1966-11543-4
Dietrich Göhde, Über Fixpunkte bei stetigen Selbstabbildungen mit kompakten Iterierten, Math. Nachr. 28 (1964), 45–55 (German). MR 179777, DOI 10.1002/mana.19640280103
W. A. Kirk, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004–1006. MR 189009, DOI 10.2307/2313345