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

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DOI: https://doi.org/10.28924/2291-8639-22-2024-189
Published: Oct 22, 2024
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Maha Noorwali, Kifayat Ullah, Hayat Ullah, Muhammad Arif, Bashir Nawaz, Approximating Fixed Point of (α, β, γ)-Nonexpansive Mapping Using Picard-Thakur Iterative Scheme, Int. J. Anal. Appl., 22 (2024), 189.

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

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.

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