Fixed point results in m-cone metric space over Banach algebra with an application


Jerolina Fernandez, Neeraj Malviya, Ersin Gilić




In this paper, we introduce the M-cone metric space over Banach algebra as a generalization of both M-metric space and cone metric space over Banach algebra and investigate some fixed point results in the new settings. Some examples are presented as illustrations. Finally, the results are supported by an application to examine the existence and uniqueness of solution for a Fredholm integral equation.