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Existence of a Unique Fixed Point for Nonlinear Contractive Mappings

Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel
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Mathematics 2020, 8(1), 55; https://doi.org/10.3390/math8010055
Received: 6 December 2019 / Revised: 23 December 2019 / Accepted: 26 December 2019 / Published: 1 January 2020
(This article belongs to the Special Issue Variational Inequality)
In a recent work, we established the existence of a unique fixed point for nonlinear contractive self-mappings of a bounded and closed set in a Banach space. In the present paper we extend this result to the case of unbounded sets. View Full-Text
Keywords: Banach space; complete metric space; contractive mapping; fixed point; iterate Banach space; complete metric space; contractive mapping; fixed point; iterate
MDPI and ACS Style

Reich, S.; Zaslavski, A.J. Existence of a Unique Fixed Point for Nonlinear Contractive Mappings. Mathematics 2020, 8, 55.

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