On Banach and Kannan type results in cone b_v(s)-metric spaces over Banach algebra

Abstract

In this paper, the concept of a cone bv (s)-metric space overBanach algebra is introduced as a generalization of metric spaces, rectangular metric spaces, b-metric spaces, rectangular b-metric spaces, v-generalized metric spaces, cone b-metric spaces over Banach algebraand rectangular cone b-metric spaces over Banach algebra. We also giveproofs of the Banach and Kannan contraction principles in cone bv (s)-metric spaces over Banach algebra.Some examples are also provided.