Convergence Theorem for Multivalued Almost Type Contractions via Generalized Simulation Functions

Abstract

The purpose of this work is to introduce the concepts of generalized multivalued almost type Zcontraction along with C-class functions and generalized Suzuki multivalued almost type Z-contraction along with C-class functions for a pair of mappings, as well as to show that common fixed point theorems for such mappings in complete metric spaces. The results of this study generalize and expand on some established fixed point findings in the literature. We derive several corollaries from our core results and offer examples to support our results.