Best proximity points of contractive mappings on a metric space with a graph and applications | Zendy

Asrifa Sultana | Zendy; V. Vetrivel | Zendy

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Best proximity points of contractive mappings on a metric space with a graph and applications

Author(s) -

Asrifa Sultana,

V. Vetrivel

Publication year - 2017

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2017.3424

Subject(s) - mathematics , metric space , uniqueness , complete metric space , coincidence point , discrete mathematics , graph , fixed point theorem , point (geometry) , pure mathematics , mathematical analysis , geometry

We establish an existence and uniqueness theorem on best proximity point for contractive mappings on a metric space endowed with a graph. As an application of this theorem, we obtain a result on the existence of unique best proximity point for uniformly locally contractive mappings. Moreover, our theorem subsumes and generalizes many recent fixed point and best proximity point results

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