Weak partial metric spaces and some fixed point results

Ishak Altun

Turkey

Kirikkale University

Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71540 Yahsihan, Kirikkale, Turkey.

ishakaltun@yahoo.com

Gonca Durmaz

Turkey

Kirikkale University

Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71540 Yahsihan, Kirikkale, Turkey.

Submitted: 2013-07-29

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Accepted: 2013-07-29

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DOI: https://doi.org/10.4995/agt.2012.1628
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Keywords:

Fixed point, Partial metric space, Weak partial metric space

Supporting agencies:

This research was not funded

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.
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References:

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