Cyclic Picard Operator and Simulation Type Functions


Sumit Chandok




In this manuscrpt, we introduce generalized $(\alpha,\beta,\mathcal{Z_G})-$ contraction using the concept of cyclic $(\alpha,\beta)$-admissible mapping and prove the existence of Picard operator for such class in the structure of metric spaces. Also we provide an example for the illustration of the same.