Almost contraction mappings in cone $b$-metric spaces over Banach algebras

Year 2020, Volume: 49 Issue: 6, 1965 - 1973, 08.12.2020

Faruk Develi , Muttalip Özavşar

https://doi.org/10.15672/hujms.486939

Cited By: 2

Abstract

We introduce the condition of being Cauchy for a sequence in cone $b$-metric spaces (cbms) over Banach algebras. Based on this result, we extend almost mappings in cone metric spaces over Banach algebras to cbms over Banach algebras and prove the related fixed point theorem. In addition, we apply our results to some applications to illustrate their usability.

Keywords

Cone b-metric spaces over Banach algebras, spectral radius, common fixed point

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