Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces

Subject Areas : History and biography

K. P. R. Rao ¹ , G. V. N. Kishore ² , Sk. Sadik ³

1 - Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-522 510, Andhra Pradesh, India
2 - Department of Mathematics, K L University, Vaddeswaram, Guntur-522 502, Andhra Pradesh, India
3 - Department of Mathematics, Sir C R R College of Engineering, Eluru, West Godavari-534 007, Andhra Pradesh, India

Received: 2017-02-02 Accepted : 2017-04-25 Published : 2017-03-01

Keywords: coupled fixed point, $S_b$-metric space, $w$-compatible pairs, $S_b$-completeness,

Abstract :

In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.

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