Search results for "0-completene"

showing 4 items of 4 documents

Multi-valued $$F$$ F -contractions in 0-complete partial metric spaces with application to Volterra type integral equation

2013

We study the existence of fixed points for multi-valued mappings that satisfy certain generalized contractive conditions in the setting of 0-complete partial metric spaces. We apply our results to the solution of a Volterra type integral equation in ordered 0-complete partial metric spaces.

Discrete mathematicsPure mathematicsAlgebra and Number Theory0-completenepartial metric spacesApplied MathematicsInjective metric spaceclosed multi-valued mappingT-normEquivalence of metricsIntrinsic metricConvex metric spaceComputational MathematicsUniform continuityMetric spacefixed pointSettore MAT/05 - Analisi MatematicaFréchet spaceGeometry and TopologyF-contractionAnalysisMathematicsRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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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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Common Fixed Points in a Partially Ordered Partial Metric Space

2013

In the first part of this paper, we prove some generalized versions of the result of Matthews in (Matthews, 1994) using different types of conditions in partially ordered partial metric spaces for dominated self-mappings or in partial metric spaces for self-mappings. In the second part, using our results, we deduce a characterization of partial metric 0-completeness in terms of fixed point theory. This result extends the Subrahmanyam characterization of metric completeness.

Discrete mathematicsArticle SubjectInjective metric spacelcsh:MathematicsEquivalence of metricslcsh:QA1-939Fixed points dominated self-mappings 0-completenessConvex metric spaceIntrinsic metricCombinatoricsMetric spaceSettore MAT/05 - Analisi MatematicaMetric (mathematics)Metric differentialFisher information metricMathematicsInternational Journal of Analysis
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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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