Existence of a Unique Fixed Point for Nonlinear Contractive Mappings

Simeon Reich and Alexander J. Zaslavski
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Simeon Reich: Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel
Alexander J. Zaslavski: Department of Mathematics, The Technion—Israel Institute of Technology, Haifa 32000, Israel

Mathematics, 2020, vol. 8, issue 1, 1-7

Abstract: 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.

Keywords: Banach space; complete metric space; contractive mapping; fixed point; iterate (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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