On the existence of best proximity points for generalized contractions

V. Vetrivel, Asrifa Sultana


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.


Fixed points, Generalized contractions, $P$-property, best proximity point.

Subject classification

54H25; 47H10

Full Text:



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Universitat Politècnica de València

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