On the existence of best proximity points for generalized contractions | Zendy

V. Vetrivel | Zendy; Asrifa Sultana | Zendy

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On the existence of best proximity points for generalized contractions

Author(s) -

V. Vetrivel,

Asrifa Sultana

Publication year - 2014

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.638

H-Index - 13

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2014.2221

Subject(s) - mathematics , metric space , point (geometry) , fixed point theorem , space (punctuation) , complete metric space , pure mathematics , metric (unit) , discrete mathematics , mathematical analysis , geometry , computer science , operations management , economics , operating system

In this article we establish the existence of a unique best proximity point for some generalized non self contractions on a metric space in a simpler way using a geometric result. Our results generalize some recent best proximity point theorems and several fixed point theorems proved by various authors

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