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A fixed point theorem of the alternative, for contractions on a generalized complete metric space. (English) Zbl 0157.29904

Keywords:
topology
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[1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales (Thèse présentée en juin 1920 a l’Université de Léopol [ = Lwów] pour obtenir le grade de docteur en philosophie), Fund. Math. 3 (1922), 133-181. · JFM 48.0201.01
[2] W. A. J. Luxemburg, On the convergence of successive approximations in the theory of ordinary differential equations. II, Nederl. Akad. Wetensch. Proc. Ser. A 61 = Indag. Math. 20 (1958), 540 – 546. · Zbl 0084.07703
[3] W. A. J. Luxemburg, On the convergence of successive approximations in the theory of ordinary differential equations. III, Nieuw Arch. Wisk. (3) 6 (1958), 93 – 98. · Zbl 0085.30201
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