Some Fixed Point Theorems under Relational Suzuki Generalized LR-contractions with an Application

Abstract

In this article, we introduce the idea of relational Suzuki generalized LR-contractions and utilize the same to prove some fixed point results in R-complete metric spaces employing binary relation. Our newly proved results yield sharpened versions of several known results of the existing literature substantiated. The genuineness of our main result is substantiated by an example. Furthermore, we have demonstrated the applicability of our main result to establish the solution of a fractional thermostat model.