Some fixed point results for dualistic rational contractions

Authors

  • Muhammad Nazam International Islamic University
  • Muhammad Arshad International Islamic University
  • Mujahid Abbas University of Pretoria

DOI:

https://doi.org/10.4995/agt.2016.5920

Keywords:

fixed point, dualistic partial metric, dualistic contraction of rational type

Abstract

In this paper, we introduce a new contraction called dualistic contraction of rational type and obtain some fixed point results. These results generalize various comparable results appeared in the literature. We provide an example to show the superiority of our results over corresponding fixed point results proved in metric spaces.

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Author Biographies

Muhammad Nazam, International Islamic University

Department of Mathematics and Statistics

Muhammad Arshad, International Islamic University

Professor of Mathematics

Department of Mathematics and Statistics

Mujahid Abbas, University of Pretoria

Professor of Mathematics

Department of Mathematics and Applied Mathematics

References

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H.Isik and D.Tukroglu, Some fixed point theorems in ordered partial metric spaces, Journal of Inequalities and Special Functions 4 (2013), 13-18. https://doi.org/10.1186/1687-1812-2013-51

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A. C. M. Ran and M. C. B. Reuring, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132, no. 5 (2004), 1435-1443. https://doi.org/10.1090/S0002-9939-03-07220-4

O. Valero, On Banach fixed point theorems for partial metric spaces, Applied General Topology 6, no. 2 (2005), 229-240. https://doi.org/10.4995/agt.2005.1957

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Published

2016-10-03

How to Cite

[1]
M. Nazam, M. Arshad, and M. Abbas, “Some fixed point results for dualistic rational contractions”, Appl. Gen. Topol., vol. 17, no. 2, pp. 199–209, Oct. 2016.

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Articles