Extended Nb-cone metric spaces over Banach algebra with an application

Abstract

In this manuscript, we present a new notion which is named as extended Nb-cone metric space over Banach algebra and investigate some fixed point results in the new setting. In order to examine the validity of the underlying space we gave an application for existence and uniqueness of solution for a system of Fredholm integral equation. At last, we present some interesting examples to illustrate our work.

Keywords

• extended nb-cone metric space over banach algebra
• generalized lipschitz maps
• fixed point
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