In this paper strong and weak convergence results is prove for countable family of multivalued generalized nonexpansive mapping by using some conditions in uniformly convex real Banach Space. We establish sufficient criteria for weak and strong convergence, and demonstrate that the scheme provides a unified framework that improves the rate of convergence for a broad class of generalized nonexpansive mappings. Furthermore, we present illustrative examples to validate the theoretical results, highlighting potential applications in computational mathematics and applied sciences.

Multivalued, Nonexpansive, Generalized Nonexpansive, Iterative Scheme, Convergence