The purpose of this manuscript is to present some fixed point results for a Λ-Ćirić 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.
- Fredholm integral equation
- fixed point technique
- fractional differential equation
- non-triangular metric space