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Two extensions of the Banach contraction mapping principle. (English) Zbl 0159.52602


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[1] Rakotch, E., A note on contractive mappings, (Proc. Amer. Math. Soc., 13 (1962)), 459-465 · Zbl 0105.35202
[2] Caccioppoli, R., Sugli elementi uniti delle transformazioin funzionali, (Rend. Sem. Mat. Padova, 3 (1932)), 1-15 · JFM 58.1116.02
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[6] Naimpally, S. A., Contractive mappings in uniform spaces, Indag. Math., 27, 477-481 (1965) · Zbl 0132.18903
[7] Iseki, K., On Banach theorem of contraction mappings, (Proc. Japan Acad., 41 (1965)), 195-196 · Zbl 0132.18804
[8] Knill, R. J., Fixed points of uniform contractions, J. Math. Anal. Appl., 12, 449-455 (1965) · Zbl 0132.18902
[9] Weissinger, J., Zur Theorie und Anwendung des Iterationsverfahrens, Math. Nach., 8, 193-212 (1952) · Zbl 0046.34105
[10] Wouk, A., Direct interaction, existence and uniqueness, (Anselone, P. M., Nonlinear Integral Equations (1964), Univ. Wisconsin Press: Univ. Wisconsin Press Madison), 3-33 · Zbl 0124.31301
[11] Boyd, D. W.; Wong, J. S.W, On nonlinear contractions, (Proc. Amer. Math. Soc., 19 (1968)), (to appear) · Zbl 0175.44903
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