On the equivalence of certain statements on fixed points of contractions


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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.).

About the authors

P. V. Semenov

Faculty of Mathematics, Higher School of Economics—National Research University

Author for correspondence.
Email: pavels@orc.ru
Russian Federation, Moscow

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