A generalized Banach contraction principle that characterizes metric completeness
Open Access
- 6 December 2007
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 136 (05), 1861-1870
- https://doi.org/10.1090/s0002-9939-07-09055-7
Abstract
We prove a fixed point theorem that is a very simple generalization of the Banach contraction principle and characterizes the metric completeness of the underlying space. We also discuss the Meir-Keeler fixed point theorem.Keywords
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