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Completeness and fixed-points. (English) Zbl 0312.54048

54H25Fixed-point and coincidence theorems in topological spaces
54E35Metric spaces, metrizability
54E50Complete metric spaces
54G20Counterexamples (general topology)
[1]Bessaga, C.: On the converse of Banach fixed-point principle. Colloq. Math.7, 41-43 (1959).
[2]Chatterjea, S. K.: Some theorems on fixed-points. Research Report No. 2, Centre of Advanced Study in Appl. Math., University of Calcutta. 1971.
[3]Connell, E. H.: Properties of fixed-point spaces. Proc. Amer. Math. Soc.10, 974-979 (1959). · doi:10.1090/S0002-9939-1959-0110093-3
[4]Hausdorff, F.: Die MengenG 8 in vollständigen Räumen. Fund. Math.6, 146-148 (1924).
[5]Hu, T. K.: On a fixed-point theorem for metric spaces. Amer. Math. Monthly74, 436-437 (1967). · Zbl 0147.22903 · doi:10.2307/2314587
[6]Kannan, R.: Some results on fixed-points. Bull. Calcutta Math. Soc.60, 71-76 (1968).
[7]Kelley, J. L.: General Topology. New York: Van Nostrand. 1955.