0000000000485430

AUTHOR

Marta Demma

showing 2 related works from this author

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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Picard sequence and fixed point results on b -metric spaces

2015

We obtain some fixed point results for single-valued and multivalued mappings in the setting of ab-metric space. These results are generalizations of the analogous ones recently proved by Khojasteh, Abbas, and Costache.

Discrete mathematicsSequenceb-metric spaceArticle Subjectlcsh:MathematicsInjective metric spaceProduct metricFixed pointlcsh:QA1-939Convex metric spaceIntrinsic metricMetric spacefixed pointSettore MAT/05 - Analisi MatematicaAnalysisMathematics
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