Fixed point of generalized F-Suzuki contraction mapping on complete extended b-metric spaces with application

The present article introduces the concept of generalized F-Suzuki type contraction in the setting of extended b-metric spaces, inspired by the existing concept in b-metric spaces. The newly introduced notion is further utilized to prove fixed point theorems for F-Suzuki type contraction which unified, extended and generalized many existing results in the literature. Finally, the established results are utilized to solve Fredholm integral equation.