Some fixed point theorems of rational type contraction in b-metric spaces

Abstract

In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

Keywords

• b-metric spaces
• fixed points
• common fixed point
• cauchy sequence
• rational contractive condition
• nonlinear integral equations
• 35b40
• 74f05
• 74f20
• 93d15
• 93d20