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

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Hacettepe Journal of Mathematics and Statistics
Volume:49 Issue:6
Almost contraction mappings in cone $b$-metric spaces over Banach algebras

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

Authors : Faruk DEVELİ, Muttalip ÖZAVŞAR

Pages : 1965-1973

Doi:10.15672/hujms.486939

View : 105 | Download : 11

Publication Date : 2020-12-08

Article Type : Research Paper

Abstract :We introduce the condition of being Cauchy for a sequence in cone $b$-metric spaces insert ignore into journalissuearticles values(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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