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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)
[3] Dunford, N.; Schwartz, J. T.: Linear operators, part I, general theory. (1958) · Zbl 0084.10402
[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) · Zbl 36.0446.04