A Comparison of Various Definitions of Contractive Mappings
Open Access
- 1 February 1977
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 226, 257-290
- https://doi.org/10.2307/1997954
Abstract
A number of authors have defined contractive type mappings on a complete metric space X which are generalizations of the well-known Banach contraction, and which have the property that each such mapping has a unique fixed point. The fixed point can always be found by using Picard iteration, beginning with some initial choice <!-- MATH ${x_0} \in X$ --> . In this paper we compare this multitude of definitions.
Keywords
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