Search results for "Ordered partial metric space"

showing 3 items of 3 documents

Fixed points and completeness on partial metric spaces

2015

Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki's type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 (2012), 911-920] proved an analogous fixed point result for a selfmapping on a partial metric space that characterizes the partial metric 0-completeness. In this paper we prove a fixed point result for a new class of…

Discrete mathematicsNumerical AnalysisPartial metric 0-completeneControl and OptimizationAlgebra and Number TheoryPartial metric spaceInjective metric spaceOrdered partial metric spaceEquivalence of metricsConvex metric spaceIntrinsic metricMetric spaceSettore MAT/05 - Analisi MatematicaSuzuki fixed point theoremCompleteness (order theory)Metric (mathematics)Discrete Mathematics and CombinatoricsMetric mapFixed and common fixed pointAnalysisMathematicsMiskolc Mathematical Notes
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Nonlinear psi-quasi-contractions of Ciric-type in partial metric spaces

2012

In this paper we obtain results of fixed and common fixed points for self-mappings satisfying a nonlinear contractive condition of Ciric-type in the framework of partial metric spaces. We also prove results of fixed point for self-mappings satisfying an ordered nonlinear contractive condition in the setting of ordered partial metric spaces.

Fixed points Common fixed points g-w-Quasi-contractions 0-Complete partial metric spaces Ordered partial metric spacesSettore MAT/03 - Geometria
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Fixed points for Geraghty-Contractions in partial metric spaces

2015

We establish some fixed point theorems for mappings satisfying Geraghty-type contractive conditions in the setting of partial metric spaces and ordered partial metric spaces. Presented theorems extend and generalize many existing results in the literature. Examples are given showing that these results are proper extensions of the existing ones. c ©2014 All rights reserved.

Pure mathematicsAlgebra and Number TheoryInjective metric spaceEquivalence of metricsCoincidence point partial metric space ordered partial metric space Geraghty-type contractive condition fixed point.TopologyIntrinsic metricConvex metric spaceUniform continuityMetric spaceSettore MAT/05 - Analisi MatematicaFréchet spaceMetric mapAnalysisMathematicsJournal of Nonlinear Sciences and Applications
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