Abstract
In this research, under some appropriate conditions, we approximate stationary points of multivalued Suzuki mappings through the modified Agarwal-O’Regan-Sahu iteration process in the setting of 2-uniformly convex hyperbolic spaces. We also provide an illustrative numerical example. Our results improve and extend some recently announced results of the current literature.
Highlights
Let M = ðM, ρÞ be a metric space and Y be a nonempty subset of M
In 2005, Sastry and Babu [16] published a paper on the strong convergence of the fixed point for multivalued nonexpansive mappings using modified Mann and Ishikawa iterative processes in the setting of Hilbert spaces
Throughout the section, M will stand for a complete 2uniformly convex hyperbolic space with monotone modulus of uniform convexity
Summary
In 2005, Sastry and Babu [16] published a paper on the strong convergence of the fixed point for multivalued nonexpansive mappings using modified Mann and Ishikawa iterative processes in the setting of Hilbert spaces. In 2020, Laokul and Panyanak [23] used the Ishikawa iterative process for finding stationary points of multivalued Suzuki mappings in 2uniformly convex hyperbolic spaces. The purpose of this work is to prove, under some appropriate conditions, the strong and Δ convergence results of stationary points for a wider class of multivalued nonexpansive mappings socalled multivalued Suzuki mappings using iterative process (6) in the general setting of 2-uniformly convex hyperbolic. Let Y be a nonempty closed convex subset of a2-uniformly convex hyperbolic space M and F : Y ⟶ CðYÞ be a Suzuki mapping.
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