@article{article_486939, title={Almost contraction mappings in cone $b$-metric spaces over Banach algebras}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={49}, pages={1965–1973}, year={2020}, DOI={10.15672/hujms.486939}, author={Develi, Faruk and Özavşar, Muttalip}, keywords={Cone b-metric spaces over Banach algebras, spectral radius, common fixed point}, 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.}, number={6}, publisher={Hacettepe University}