6533b828fe1ef96bd1287b8e
RESEARCH PRODUCT
Common Fixed Points in a Partially Ordered Partial Metric Space
Daniela PaesanoPasquale Vetrosubject
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 metricMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-13 | International Journal of Analysis |