Rectangular cone b-metric spaces over Banach algebra and contraction principle

Reny George; Hossam A. Nabwey; R. Rajagopalan; Stojan Radenović; Kp Reshma

doi:10.1186/s13663-017-0608-x

Rectangular cone b-metric spaces over Banach algebra and contraction principle

Reny George, Hossam A. Nabwey, R. Rajagopalan, Stojan Radenović, Kp Reshma

Mathematics

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10 Scopus citations

Abstract

Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples are provided to establish the validity and superiority of our results. An application to solution of linear equations is given which illustrates the proper application of the results in spaces over Banach algebra.

Original language	English
Article number	14
Journal	Fixed Point Theory and Algorithms for Sciences and Engineering
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13663-017-0608-x
State	Published - 1 Dec 2017

Keywords

cone rectangular b-metric space
fixed points
rectangular b-metric space
rectangular metric space

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Rectangular cone b-metric spaces over Banach algebra and contraction principle

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Keywords

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