Fixed Point Theory and Applications · 2012 · 104 citations · 33 references
Natural SciencesOrthodonticsTopologyFixed Point TheoryFixed PointsMetric GeometryMetric SpacesPartially Ordered SetsContractive MappingsFixed Point PropertyFixed-point CharacterizationMetric Fixed Point TheoryOrdered Metric SpacesPartial Metric SpacesUniqueness Of Fixed Points
In this article, we prove some fixed point results for generalized weakly contractive mappings defined on a partial metric space. We provide some examples to validate our results. These results unify, generalize and complement various known comparable results from the current literature.
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S. G. Matthews · Annals of the New York Academy of Sciences · 1994 · 1.2K citations
Some theorems on weakly contractive maps
Β. E. Rhoades · Nonlinear Analysis · 2001 · 665 citations