Abstract
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.
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