Remarks on a generalization of Banach’s principle of contraction mappings. (English) Zbl 0129.38301


Full Text: DOI


[1] Banach, S, Sur LES opérations dans LES ensembles abstraits et leur application aux équations intégrales (thése présentée en juin 1920 a l’université de Léopol [= lwów] pour obtenir le grade de docteur en philosophie), Fundamenta math., 3, 133-181, (1922)
[2] Kolmogorov, A.N; Fomin, S.V, Elements of the theory of functions and functional analysis volume I, metric and normed spaces, (1957), Graylock Press Rochester, New York
[3] Dunford, N; Schwartz, J.T, Linear operators, part I, general theory, (1958), Interscience New York
[4] Hamel, G, Eine basis aller zahlen und die unstetige Lösungen der funktionalgleichung f(x + y) = f(x) + f(y), Math. ann., 60, 459-462, (1905) · JFM 36.0446.04
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.