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

Fixed Point Theory and Applications, Sep 2017

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.

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Reny George, Hossam A Nabwey, R Rajagopalan, Stojan Radenović, KP Reshma. Rectangular cone b-metric spaces over Banach algebra and contraction principle, Fixed Point Theory and Applications, 2017, 14, DOI: 10.1186/s13663-017-0608-x