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RESEARCH PRODUCT

A note on best approximation in 0-complete partial metric spaces

Marta DemmaBessem SametCalogero VetroMohamed Jleli

subject

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

description

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.

10.1155/2014/979170http://hdl.handle.net/10447/103237