Fixed point theorem for Nonlinear $\theta-\phi-$contraction via $w-$distance

Mohamed Rossafi (Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,)
Abdelkarim Kari

JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Vol. 19 No. 1 (2022): SEPTEMBER, 2022

This paper is aimed to the notion of $\theta-\phi-$contraction defined on a metric space with $w-$distance. Moreover, fixed point theorems are given in this framework. Some illustrative examples are provided to advocate the usability of our results.As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations.