article
On contractive mappings
Proceedings of the American Mathematical Society · 1973 · Vol. 40(2) · pp. 604–608
Abstract
The Cauchy condition for convergence of a contractive iteration in a complete metric space is replaced by an equivalent functional condition. Many generalizations of the Banach-Neumann contractive mapping principle follow.
Fixed Point Theorems AnalysisAdvanced Differential Geometry ResearchMathematicsBanach spaceComplete metric spaceMetric spaceConvergence (economics)Cauchy sequencePure mathematicsVon Neumann architectureCauchy distributionApplied mathematics
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References
On nonlinear contractions
Proceedings of the American Mathematical Society · 1969 · 989 citations
A note on contractive mappings
Proceedings of the American Mathematical Society · 1962 · 300 citations
On Nonlinear Contractions
Proceedings of the American Mathematical Society · 1969 · 262 citations
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