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On the structure of the set of subsequential limit points of successive approximations. (English) Zbl 0161.20103


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topology
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[1] M. Edelstein, On fixed and periodic points under contractive mappings, J. London Math. Soc. 37 (1962), 74 – 79. · Zbl 0113.16503 · doi:10.1112/jlms/s1-37.1.74
[2] M. Edelstein, A remark on a theorem of M. A. Krasnoselski, Amer. Math. Monthly 73 (1966), 509 – 510. · Zbl 0138.39901 · doi:10.2307/2315474
[3] F. E. Browder and W. V. Petryshyn, The solution by iteration of linear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 566 – 570. , https://doi.org/10.1090/S0002-9904-1966-11543-4 F. E. Browder and W. V. Petryshyn, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571 – 575. · Zbl 0138.08201
[4] F. E. Browder and W. V. Petryshyn, The solution by iteration of linear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 566 – 570. , https://doi.org/10.1090/S0002-9904-1966-11543-4 F. E. Browder and W. V. Petryshyn, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571 – 575. · Zbl 0138.08201
[5] M. A. Krasnosel\(^{\prime}\)skiĭ, Two remarks on the method of successive approximations, Uspehi Mat. Nauk (N.S.) 10 (1955), no. 1(63), 123 – 127 (Russian).
[6] V. M. Fridman, Method of successive approximations for a Fredholm integral equation of the 1st kind, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 1(67), 233 – 234 (Russian).
[7] F. Tricomi, Un teorema sulla convergenza delle successioni formate delle successive iterate di una funsione di una variabile reale, Giorn. Mat. Battaglini 54 (1916), 1-9. · JFM 46.0439.03
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