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On nonlinear contractions
Proceedings of the American Mathematical Society · 1969 · Vol. 20(2) · pp. 458–458
Abstract
In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O'Neill) given in [14], obtaining as a particular case of our results the Banach fixed point theorem of Matthews ([12]), and some well-known classical fixed point theorems when the partial metric is, in fact, a metric.
Numerical methods for differential equationsFixed Point Theorems AnalysisControl and Stability of Dynamical SystemsNonlinear systemPhysics
Funding
- National Science Foundation
- University of Alberta
Citations
989
FWCI
5.19
field-weighted impact
References
5
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95%
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References
A note on contractive mappings
Proceedings of the American Mathematical Society · 1962 · 300 citations
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