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In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space. Our result unify, complement and/or generalized some recent results in the papers        , and many others. We provide some examples to elucidate the validity and superiority of our results. *doi:10.1051/itmconf/20182201003 fatcat:67rgaqvqevfabhxlno47xmcciq