A Cone Generalized b-Metric Like Space over Banach Algebra and Contraction Principle

Zoran D. Mitrovic, Aziz Ahmed, J. N. Salunke

Abstract

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