TY  - JOUR
T1  - Almost contraction mappings in cone $b$-metric spaces over Banach algebras
AU  - Develi, Faruk
AU  - Özavşar, Muttalip
PY  - 2020
DA  - December
DO  - 10.15672/hujms.486939
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1965
EP  - 1973
VL  - 49
IS  - 6
LA  - en
AB  - 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.
KW  - Cone b-metric spaces over Banach algebras
KW  - spectral radius
KW  - common fixed point
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UR  - https://doi.org/10.15672/hujms.486939
L1  - https://dergipark.org.tr/en/download/article-file/1092988
ER  -