Fixed point theorems for χ,F-Dass–Gupta contraction mappings in b-metric spaces with applications to integral equations

In this paper, we introduce new types of χ , F -contraction mappings by involving rational expressions and establish two new fixed point theorems for this class of mappings in the setting of b -metric spaces. Furthermore, our results allow us to deduce, extend and improve some previous works in the existing literature. Along with these, some illustrative examples are also constructed in the support of our obtained fixed point theorems. As applications of our results, we investigate sufficient criteria for the existence and uniqueness of solution for certain types of nonlinear integral equations.