Chatterjea type theorems for complex valued extended $b$-metric spaces with applications

In this article, we establish common $\alpha$ -fuzzy fixed point theorems for Chatterjea type contractions involving rational expression in complex valued extended $b$-metric space. Our results generalize and extend some familiar results in the literature. Some common fixed point results for multivalued and single valued mappings are derived for complex valued extended $b$-metric space, complex valued $b$-metric space and complex valued metric space as consequences of our leading results. As an application, we investigate the solution of Fredholm integral inclusion.