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Brief communications
On the equivalence of certain statements on fixed points of contractions
P. V. Semenov Faculty of Mathematics, Higher School of Economics-National Research University, Moscow, Russia
Abstract:
It is shown that a series of recent (2012–2016) generalizations of the notion of contraction $F$-contraction, weak $F$-contraction, etc.) in fact reduce to known notions of contraction (due to Browder, Boyd and Wong, Meir and Keeler, etc.).
Keywords:
contractive map, generalized contraction, fixed point, iterations.
Received: 26.05.2017 Accepted: 26.05.2017
Citation:
P. V. Semenov, “On the equivalence of certain statements on fixed points of contractions”, Funktsional. Anal. i Prilozhen., 51:4 (2017), 92–95; Funct. Anal. Appl., 51:4 (2017), 318–321
Linking options:
https://www.mathnet.ru/eng/faa3494https://doi.org/10.4213/faa3494 https://www.mathnet.ru/eng/faa/v51/i4/p92
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Abstract page: | 384 | Full-text PDF : | 65 | References: | 58 | First page: | 43 |
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