Note sur un genre d'extensions du théorème de contraction de Banach
Note on a kind of extensions of Banach's contraction theorem
Abstract
Not available.Downloads
References
Banach, S., Sur les opérations dans les ensembles abstraits et leurs applicaitons aux équations intégrales. Fundamenta Math. 3, 133-181, 1922, https://doi.org/10.4064/fm-3-1-133-181
Gheorghiu, N., Contraction theorem in uniform spaces. (Romanian) Stud. Cerc. Mat. 19 1967 119-122, MR0247498.
Goldner, G., On succesive approximation for set valued mappings. Proc. Conf. Constructive Theory of Functions. Budapest, 189-193, 1969.
Ney, A., Extension du domaine d'applicabilité du critère de convergence de d'Alembert. (Romanian) Gaz. Mat. Fiz. Ser. A 10 (63) 1958 709-712, MR0104942.
Ney, Andrei, Contribution à l'étude de la rapidité de convergence des séries à termes positifs. (French) Mathematica (Cluj) 4 (27) 1962 77-105, MR0151753.
Ney, Andrei, An extension of the contraction theorem of Banach in a metric space. (Romanian) Studia Univ. Babeş-Bolyai Ser. Math.-Phys. 10 1965 no. 1, 41-46, MR0185590.
Niczky, Ştefan I., On some fixed point theorems in complete uniform spaces. (Romanian. French summary) An. Şti. Univ. "Al. I. Cuza" Iaşi Secţ. I a Mat. (N.S.) 14 1968 391-397, MR0254829.
Rakotch, E., A note on contractive mappings. Proc. Amer. Math. Soc. 13 1962 459-465, MR0148046, https://doi.org/10.1090/s0002-9939-1962-0148046-1
Downloads
Published
Issue
Section
License
Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory
This work is licensed under a Creative Commons Attribution 4.0 International License.
Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
