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

Journal of Linear and Topological Algebra

مقاله 3، دوره 06، شماره 01، خرداد 2017، صفحه 29-43   

نوع مقاله: Research Paper

نویسندگان

K. P. R. Rao^{* 1}؛ G. V. N. Kishore²؛ Sk. Sadik³

¹Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur-522 510, Andhra Pradesh, India

²Department of Mathematics, K L University, Vaddeswaram, Guntur-522 502, Andhra Pradesh, India

³Department of Mathematics, Sir C R R College of Engineering, Eluru, West Godavari-534 007, Andhra Pradesh, India

چکیده

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.

کلیدواژه‌ها

$S_b$-metric space؛ $w$-compatible pairs؛ $S_b$-completeness؛ coupled fixed point

مراجع

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