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S. J. ONeill, Partial metrics, valuations and domain theory, in: Proc. 11th Summer Conference on General Topology and Applications, in: Ann. New York Acad. Sci., vol. 806, 1996, pp. 304-315.

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Article

Some Common Fixed Point Theorems Satisfying (ψ − φ) Maps in Partial Metric Spaces

1Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran


Turkish Journal of Analysis and Number Theory. 2015, Vol. 3 No. 2, 53-60
DOI: 10.12691/tjant-3-2-4
Copyright © 2015 Science and Education Publishing

Cite this paper:
Reza Arab. Some Common Fixed Point Theorems Satisfying (ψ − φ) Maps in Partial Metric Spaces. Turkish Journal of Analysis and Number Theory. 2015; 3(2):53-60. doi: 10.12691/tjant-3-2-4.

Correspondence to: Reza  Arab, Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran. Email: mathreza.arab@iausari.ac.ir

Abstract

In this paper, we present some coincidence and common fixed point results for infinite families of contractive maps satisfying a new class of pairs of generalized contractive type mappings defined in partial metric spaces. Our results extend and generalize many known results in the literature. Also, we introduce an example to support the validity of our results.

Keywords