SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

Mukti Gangopadhyay    M. Saha    A.P. Baisnab    

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Abstract

Here we prove two fixed point theorems on partial metric space, which was defined by S. Matthews [8] in 1994. In the literature one can find fixed point theorems proved on such spaces by using Picard iteration schemes. Here our main ingredient is Cantor intersection type results.

Keywords

Partial metric space, contraction mapping, fixed points.