Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces
الموضوعات :
K. P. R. Rao
1
(Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar,
Guntur-522 510, Andhra Pradesh, India)
G. V. N. Kishore
2
(Department of Mathematics, K L University, Vaddeswaram, Guntur-522 502,
Andhra Pradesh, India)
Sk. Sadik
3
(Department of Mathematics, Sir C R R College of Engineering, Eluru,
West Godavari-534 007, Andhra Pradesh, India)
الکلمات المفتاحية: coupled fixed point, $S_b$-metric space, $w$-compatible pairs, $S_b$-completeness,
ملخص المقالة :
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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