On nonlinear contractions

1969/02/01 by David W. Boyd, D. W. Boyd, J. S. W. Wong · 24 citations
Mathematics · Engineering · #Numerical methods for differential equations #Fixed Point Theorems Analysis #Control and Stability of Dynamical Systems

paper · pdf · doi:10.1090/s0002-9939-1969-0239559-9

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.

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• Partial metric spaces with negative distances and fixed point theorems
• Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces
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