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A generalized Banach contraction principle that characterizes metric completeness |
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| Authors: | Tomonari Suzuki |
| Institution: | Department of Mathematics, Kyushu Institute of Technology, Sensuicho, Tobata, Kitakyushu 804-8550, Japan |
| 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: | Banach contraction principle fixed point metric completeness Kannan mapping |
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