Common fixed point of four maps in $S_b$-Metric spaces

Subject Areas : History and biography

S. Radenovic ¹ , Sh. Sedghi ² , A. Gholidahneh ³ , T. Dosenovic ⁴ , J. Esfahani ⁵

1 - Faculty of Mechanical Engineering, University of Belgrade, Serbia
2 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
3 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
4 - Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Serbia
5 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

Received: 2016-03-05 Accepted : 2016-06-07 Published : 2016-08-01

Keywords: Common fixed point, compatible mappings, Cauchy sequence, $S_b$-metric spaces,

Abstract :

In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theoremfor four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.

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