FIXED POINT THEOREMS IN THE GENERALIZED RA-TIONAL TYPE OF C-CLASS FUNCTIONS IN B-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUA-TION

In this paper, we study some results of existence and uniqueness of fixed points for a C-class of mappings satisfying an inequality of rational type in b-metric spaces. After definition of C-class functions covering a large class of contractive conditions by Ansari [2]. Our results extend very recent results in the literature; as well as Khan in [14] and later Fisher in [9] gave a revised improved version of Khan's result and Piri in [17] a new generalization of Khan's Theorem. At the end, we present an example of finding solutions for an integral equation.