Some fixed point theorems under relational Suzuki generalized LR-contractions with an application

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. An example substantiates the genuineness of our main result. Furthermore, we have demonstrated the applicability of our main result in establishing the solution of a fractional thermostat model.