Abstract
Existence and uniqueness theorems are obtained for a fixed point of a mapping from a complete metric space to itself. These theorems generalize the theorems of L. V. Kantorovich for smooth mappings of Banach spaces. The results are extended to the coincidence points of both ordinary and set-valued mappings acting in metric spaces.
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Russian Text © The Author(s), 2019, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Vol. 304, pp. 68–82.
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Arutyunov, A.V., Zhukovskiy, E.S. & Zhukovskiy, S.E. Kantorovich’s Fixed Point Theorem in Metric Spaces and Coincidence Points. Proc. Steklov Inst. Math. 304, 60–73 (2019). https://doi.org/10.1134/S008154381901005X
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DOI: https://doi.org/10.1134/S008154381901005X