Common Fixed-Point Theorems of Generalization of Kannan, Chatterjea, and Reich Contractive on b-Metric Space with an Application

Abstract

This paper, established the existence and uniqueness of common fixed points for Kannan, Reich, and Chatterjea-type pairs of self-maps in complete b-metric space. In addition, an example and an application of the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discussed by using our results

Keywords

• b-metric, Chatterjea Contraction, Common fixed point, Fixed point, Kannan Contraction, Reich Contraction