A cone generalized b-metric like space over Banach algebra and contraction principle

Zoran Mitrovic

Abstract


In this paper, we introduce the notion of cone generalized b-metric like spaces over Banach algebra which is a generalization of cone
metric-like spaces over Banach algebra, cone metric spaces over Banach
algebra and metric like spaces. Also, we prove Banach and Kannan
fixed point theorems for contractive generalized Lipschitz mappings in
such a space. In addition some examples are given to illustrate that our
generalization is a real generalization.

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|ISSN 1686-0209|