Approximating Fixed Point of (α, β, γ)-Nonexpansive Mapping Using Picard-Thakur Iterative Scheme

In this paper, we explore the fixed point approximation of (α, β, γ)–nonexpansive mappings using the Picard-Thakur iterative scheme. We identify the efficiency of Picard-Thakur iterative scheme through a numerical example by comparing it with other iterative schemes. We also proved strong and weak fixed point convergence theorems for (α, β, γ)–nonexpansive mappings by using Picard-Thakur iterative scheme.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2024-10-22
DOI
https://doi.org/10.28924/2291-8639-22-2024-189
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Approximating Fixed Point of (α, β, γ)-Nonexpansive Mapping Using Picard-Thakur Iterative Scheme

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International Journal of Analysis and Applications
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article

Approximating Fixed Point of (α, β, γ)-Nonexpansive Mapping Using Picard-Thakur Iterative Scheme

Maha Noorwali, Hayat Ullah, Muhammad Arif, Bashir Nawaz, Kifayat Ullah
article en

Abstract

In this paper, we explore the fixed point approximation of (α, β, γ)–nonexpansive mappings using the Picard-Thakur iterative scheme. We identify the efficiency of Picard-Thakur iterative scheme through a numerical example by comparing it with other iterative schemes. We also proved strong and weak fixed point convergence theorems for (α, β, γ)–nonexpansive mappings by using Picard-Thakur iterative scheme.

International Journal of Analysis and ApplicationsVol. 22
Openalex Percentile: Top 78%
Optimization and Variational Analysis
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