Some fixed point results for nonexpansive multivalued mappings in Banach spaces with computational analysis

In this paper, we study the four-step iterative process of Garodia and Uddin in the framework of Banach spaces and obtain convergence results for multivalued generalized α-nonexpansive mappings. We provide a numerical example supporting our claim that this process converges faster than other leading iterative schemes. Our results improve, extend, and adjust existing results in the literature.

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Publication Details

Journal
Fixed Point Theory and Algorithms for Sciences and Engineering
Published
2025-10-21
DOI
https://doi.org/10.1186/s13663-025-00809-1
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
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article

Some fixed point results for nonexpansive multivalued mappings in Banach spaces with computational analysis

Waqas Nazeer, Liliana Guran, Khushdil Ahmad, Muhammad Adnan Farid
Fixed Point Theory and Algorithms for Sciences and Engineering
Optimization and Variational Analysis
article

Some fixed point results for nonexpansive multivalued mappings in Banach spaces with computational analysis

Waqas Nazeer, Liliana Guran, Khushdil Ahmad, Muhammad Adnan Farid
article en

Abstract

In this paper, we study the four-step iterative process of Garodia and Uddin in the framework of Banach spaces and obtain convergence results for multivalued generalized α-nonexpansive mappings. We provide a numerical example supporting our claim that this process converges faster than other leading iterative schemes. Our results improve, extend, and adjust existing results in the literature.

Fixed Point Theory and Algorithms for Sciences and EngineeringVol. 2025(1)
Babeș-Bolyai University (RO), Government College University, Lahore (PK)
Openalex Percentile: Top 68%
Optimization and Variational Analysis
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