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

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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Publication Details

Journal
International Journal of Analysis and Applications
Published
2024-08-15
DOI
https://doi.org/10.28924/2291-8639-22-2024-138
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

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

Zabidin Salleh, Nassar Aiman Majid, Junaid Ahmad
International Journal of Analysis and Applications
Fixed Point Theorems Analysis
article

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

Zabidin Salleh, Nassar Aiman Majid, Junaid Ahmad
article en

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.

International Journal of Analysis and ApplicationsVol. 22
International Islamic University, Islamabad (PK), Samarkand State University named after Sharof Rashidov (UZ), Universiti Malaysia Terengganu (MY), University of Anbar (IQ)
Universiti Malaysia Terengganu
Openalex Percentile: Top 78%
Fixed Point Theorems Analysis
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