On Stationary Points of Multi-Valued Suzuki Mappings via New Approach in Metric Spaces

Abstract

We investigate stationary points of multivalued Suzuki maps within the framework of 2-uniformly convex hyperbolic spaces. Initially, we present key strong and ∆-convergence results, followed by an example that demonstrates the theoretical findings. Additionally, our results hold in uniformly convex Banach spaces, CAT(0) spaces, and certain CAT(κ) spaces. Furthermore, our findings encompass cases where the map is assumed to be nonexpansive.