Approximating Fixed Point of (α, β, γ)–Nonexpansive Mappings Using JK Iterative Scheme

Muhammad Arif; Maggie Aphane; Kifayat Ullah; Maha Noorwali; Bashir Nawaz; Hayat Ullah

doi:10.28924/2291-8639-23-2025-34

Approximating Fixed Point of (α, β, γ)–Nonexpansive Mappings Using JK Iterative Scheme

Muhammad Arif, Maggie Aphane, Kifayat Ullah^*, Maha Noorwali, Bashir Nawaz, Hayat Ullah

^*Corresponding author for this work

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this manuscript, we analyze the fixed point approximation of (α, β, γ)-nonexpansive mappings using the JK iteration scheme. To evaluate its efficiency, we perform a comparative analysis with other iterative schemes for (α, β, γ)-nonexpansive mappings. Additionally, we establish the convergence results for sequence generated by the JK iterative scheme. Our work generalizes several results from the existing literature.

Original language	English
Article number	34
Journal	International Journal of Analysis and Applications
Volume	23
DOIs	https://doi.org/10.28924/2291-8639-23-2025-34
Publication status	Published - 2025

Keywords

(α, β, γ)–nonexpansive mappings
JK iteration
convergence
fixed point

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10.28924/2291-8639-23-2025-34

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abstract = "In this manuscript, we analyze the fixed point approximation of (α, β, γ)-nonexpansive mappings using the JK iteration scheme. To evaluate its efficiency, we perform a comparative analysis with other iterative schemes for (α, β, γ)-nonexpansive mappings. Additionally, we establish the convergence results for sequence generated by the JK iterative scheme. Our work generalizes several results from the existing literature.",

keywords = "(α, β, γ)–nonexpansive mappings, JK iteration, convergence, fixed point",

author = "Muhammad Arif and Maggie Aphane and Kifayat Ullah and Maha Noorwali and Bashir Nawaz and Hayat Ullah",

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T1 - Approximating Fixed Point of (α, β, γ)–Nonexpansive Mappings Using JK Iterative Scheme

AU - Arif, Muhammad

AU - Aphane, Maggie

AU - Ullah, Kifayat

AU - Noorwali, Maha

AU - Nawaz, Bashir

AU - Ullah, Hayat

PY - 2025

Y1 - 2025

N2 - In this manuscript, we analyze the fixed point approximation of (α, β, γ)-nonexpansive mappings using the JK iteration scheme. To evaluate its efficiency, we perform a comparative analysis with other iterative schemes for (α, β, γ)-nonexpansive mappings. Additionally, we establish the convergence results for sequence generated by the JK iterative scheme. Our work generalizes several results from the existing literature.

AB - In this manuscript, we analyze the fixed point approximation of (α, β, γ)-nonexpansive mappings using the JK iteration scheme. To evaluate its efficiency, we perform a comparative analysis with other iterative schemes for (α, β, γ)-nonexpansive mappings. Additionally, we establish the convergence results for sequence generated by the JK iterative scheme. Our work generalizes several results from the existing literature.

KW - (α, β, γ)–nonexpansive mappings

KW - JK iteration

KW - convergence

KW - fixed point

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U2 - 10.28924/2291-8639-23-2025-34

DO - 10.28924/2291-8639-23-2025-34

M3 - Article

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VL - 23

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 34

ER -

Approximating Fixed Point of (α, β, γ)–Nonexpansive Mappings Using JK Iterative Scheme

Abstract

Keywords

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