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In this paper, the concept of a cone bv(s)-metric space over Banach 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 algebra and rectangular cone b-metric spaces over Banach algebra. We also give Banach and, Kannan fixed point results in cone bv(s)-metric spaces over Banach algebra. Some examples are provided as well. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of a pair (f, h) called upper class of type II and αβ-contractive mappings. We obtain that all the corresponding established results of Hussain et al. [7] are immediately consequences of our main result. Our main result generalizes and modifies several existing results in literature. Also, an example is given to support the main result. [ABSTRACT FROM AUTHOR]