Search results for " partial metric space."

showing 10 items of 14 documents

On Ekeland's variational principle in partial metric spaces

2015

In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of parti al metric spaces. As consequences of our results, we obtain some fixed p oint theorems of Caristi and Clarke types.

Numerical AnalysisPure mathematicsClass (set theory)Applied MathematicsMathematical analysisFixed-point theoremEkeland's variational principleComputer Science ApplicationsMetric spaceComputational Theory and MathematicsVariational principleSettore MAT/05 - Analisi MatematicaEkeland's principle fixed point theory lower-semi continuity partial metric space.AnalysisMathematics
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COMMON FIXED POINTS FOR psi-CONTRACTIONS ON PARTIAL METRIC SPACES

2013

We prove some generalized versions of an interesting result of Matthews using conditions of different type in 0-complete partial metric spaces. We give, also, a homotopy result for operators on partial metric spaces.

Points of coincidence0-complete partial metric spaceSettore MAT/05 - Analisi Matematicapsi-contractionscommon fixed point
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Common Fixed points for multivalued generalized contractions on partial metric spaces

2013

We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric spaces. We motivate our results by some given examples and an application for finding the solution of a functional equation arising in dynamic programming.

Discrete mathematicsAlgebra and Number TheoryApplied MathematicsInjective metric spaceFubini–Study metricIntrinsic metricConvex metric spaceComputational MathematicsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Geometry and TopologyCommon fixed point partial metric space partial Hausdorff metric weak contraction.Metric differentialAnalysisFisher information metricMathematics
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A note on best approximation in 0-complete partial metric spaces

2014

We study the existence and uniqueness of best proximity points in the setting of 0-complete partial metric spaces. We get our results by showing that the generalizations, which we have to consider, are obtained from the corresponding results in metric spaces. We introduce some new concepts and consider significant theorems to support this fact.

Discrete mathematicsArticle SubjectApplied MathematicsInjective metric spacelcsh:MathematicsT-normlcsh:QA1-939Intrinsic metricConvex metric spaceUniform continuityMetric spaceFréchet spaceSettore MAT/05 - Analisi Matematica0-completeness best proximity point fixed point partial metric spaceMetric (mathematics)AnalysisMathematics
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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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Suzukiʼs type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces

2012

Abstract 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. In this paper we prove an analogous fixed point result for a self-mapping on a partial metric space or on a partially ordered metric space. Our results on partially ordered metric spaces generalize and extend some recent results of Ran and Reurings [A.C.M. Ran, M.C. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132 (2004…

Discrete mathematicsPartial metric spacesPartially ordered metric spacesInjective metric spaceMathematics::General TopologyPartial metric completenessEquivalence of metricsFixed-point propertyFixed points Common fixed points Partial metric spaces Partially ordered metric spaces Partial metric completenessConvex metric spaceIntrinsic metricLeast fixed pointFixed pointsMetric spaceSettore MAT/05 - Analisi MatematicaCommon fixed pointsGeometry and TopologyMetric differentialMathematicsTopology and its Applications
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Fixed point for cyclic weak (\psi, C)-contractions in 0-complete partial metric spaces

2013

In this paper, following (W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), 79-89), we give a fixed point result for cyclic weak (ψ,C)-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak (ψ,C)-contractions is also given.

Discrete mathematicsPure mathematicsMetric spaceSchauder fixed point theoremGeneral MathematicsFixed-point theoremFixed points partial metric spaces weak cyclic φ-contractions.Settore MAT/03 - GeometriaFixed pointType (model theory)Fixed-point propertyMathematics
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Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results

2014

Abstract We give some fixed point theorems in the setting of metric spaces or partial metric spaces endowed with a finite number of graphs. The presented results extend and improve several well-known results in the literature. In particular, we discuss a Caristi type fixed point theorem in the setting of partial metric spaces, which has a close relation to Ekelandʼs principle.

Discrete mathematicsMetric spaceUniform continuityInjective metric spaceCaristi's fixed point theorem Ekeland's principle graph metric space partial metric space.Metric mapMetric treeGeometry and TopologyEquivalence of metricsSettore MAT/03 - GeometriaConvex metric spaceMathematicsIntrinsic metric
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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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Common fixed points of mappings satisfying implicit relations in partial metric spaces

2013

Matthews, [S. G. Matthews, Partial metric topology, in: Proc. 8th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 728, 1994, pp. 183-197], introduced and studied the concept of partial metric space, as a part of the study of denotational semantics of dataflow networks. He also obtained a Banach type fixed point theorem on complete partial metric spaces. Very recently Berinde and Vetro, [V. Berinde, F. Vetro, Common fixed points of mappings satisfying implicit contractive conditions, Fixed Point Theory and Applications 2012, 2012:105], discussed, in the setting of metric and ordered metric spaces, coincidence point and common fixed point theorems fo…

Pure mathematicsAlgebra and Number TheoryDataflowCoincidence point common fixed point contraction implicit relation partial metric space.Fixed-point theoremFixed pointMetric spaceDenotational semanticsSettore MAT/05 - Analisi MatematicaCommon fixed pointGeneral topologyCoincidence pointAnalysisMathematicsJournal of Nonlinear Sciences and Applications
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