Fixed point results for a new contraction mapping with integral and fractional applications

Abstract

The purpose of this manuscript is to present some fixed point results for a Lambda-Ciric mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.