Weak partial metric spaces and some fixed point results

Ishak Altun, Gonca Durmaz

Abstract

The concept of partial metric p on a nonempty set X was introduced by Matthews. One of the most interesting properties of a partial metric is that p(x, x) may not be zero for x e X. Also, each partial metric p on a nonempty set X generates a T0 topology on X. By omitting the small self-distance axiom of partial metric, Heckmann defined the weak partial metric space. In the present paper, we give some fixed point results on weak partial metric spaces.

Keywords

Fixed point; Partial metric space; Weak partial metric space

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References

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1. Common fixed point of mappings satisfying almost generalized (S,T)-contractive condition in partially ordered partial metric spaces
N. Shobkolaei, S. Sedghi, J.R. Roshan, I. Altun
Applied Mathematics and Computation  vol: 219  issue: 2  first page: 443  year: 2012  
doi: 10.1016/j.amc.2012.06.063



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt