Fixed point theorems in the generalized rational type of C-class functions in b-metric spaces with Application to Integral Equation

Fixed point theorems in the generalized rational type of C-class functions in b-metric spaces with Application to Integral Equation

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Publicado en 3C Empresa – Volume 11, Issue 2 (Ed. 50)

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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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Keywords

Metric space; fixed point, C-function.

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