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

Nassar Aiman MajidDepartment of Ecology Sciences, College of Applied Sciences-Hit, University of Anbar, Ramadi, IraqZabidin SallehDepartment of Probability Theory and Applied Mathematics, Samarkand State University named after Sharof Rashidov University blvd., 15, Samarkand, 140104, UzbekistanJunaid AhmadDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad -44000, Pakistan
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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.

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