Iterative approximation of fixed points of generalized αm-nonexpansive mappings in modular spaces

Muhammad Waseem Asghar; Mujahid Abbas; Cyril Dennis Enyi; McSylvester Ejighikeme Omaba

doi:10.3934/math.20231378

Iterative approximation of fixed points of generalized α_m-nonexpansive mappings in modular spaces

Muhammad Waseem Asghar
, Mujahid Abbas
, Cyril Dennis Enyi
, McSylvester Ejighikeme Omaba

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

3 Citations (Scopus)

Abstract

Our aim of this work is to approximate the fixed points of generalized α_m-nonexpansive mappings employing AA-iterative scheme in the structure of modular spaces. The results of fixed points for generalized α_m-nonexpansive mappings is proven in this context. Moreover, the stability of the scheme and data dependence results are given for m-contraction mappings. In order to demonstrate that the AA-iterative scheme converges faster than some other schemes for generalized α_m-nonexpansive mappings, a numerical example is shown at the end.

Original language	English
Pages (from-to)	26922-26944
Number of pages	23
Journal	AIMS Mathematics
Volume	8
Issue number	11
DOIs	https://doi.org/10.3934/math.20231378
Publication status	Published - 2023
Externally published	Yes

Keywords

AA-Iteration
fixed point
generalized α-nonexpansive mapping
modular space

ASJC Scopus subject areas

General Mathematics

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10.3934/math.20231378

Cite this

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title = "Iterative approximation of fixed points of generalized αm-nonexpansive mappings in modular spaces",

abstract = "Our aim of this work is to approximate the fixed points of generalized αm-nonexpansive mappings employing AA-iterative scheme in the structure of modular spaces. The results of fixed points for generalized αm-nonexpansive mappings is proven in this context. Moreover, the stability of the scheme and data dependence results are given for m-contraction mappings. In order to demonstrate that the AA-iterative scheme converges faster than some other schemes for generalized αm-nonexpansive mappings, a numerical example is shown at the end.",

keywords = "AA-Iteration, fixed point, generalized α-nonexpansive mapping, modular space",

author = "Asghar, \{Muhammad Waseem\} and Mujahid Abbas and Enyi, \{Cyril Dennis\} and Omaba, \{McSylvester Ejighikeme\}",

note = "Publisher Copyright: {\textcopyright} 2023 the Author(s), licensee AIMS Press.",

year = "2023",

doi = "10.3934/math.20231378",

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T1 - Iterative approximation of fixed points of generalized αm-nonexpansive mappings in modular spaces

AU - Asghar, Muhammad Waseem

AU - Abbas, Mujahid

AU - Enyi, Cyril Dennis

AU - Omaba, McSylvester Ejighikeme

PY - 2023

Y1 - 2023

N2 - Our aim of this work is to approximate the fixed points of generalized αm-nonexpansive mappings employing AA-iterative scheme in the structure of modular spaces. The results of fixed points for generalized αm-nonexpansive mappings is proven in this context. Moreover, the stability of the scheme and data dependence results are given for m-contraction mappings. In order to demonstrate that the AA-iterative scheme converges faster than some other schemes for generalized αm-nonexpansive mappings, a numerical example is shown at the end.

AB - Our aim of this work is to approximate the fixed points of generalized αm-nonexpansive mappings employing AA-iterative scheme in the structure of modular spaces. The results of fixed points for generalized αm-nonexpansive mappings is proven in this context. Moreover, the stability of the scheme and data dependence results are given for m-contraction mappings. In order to demonstrate that the AA-iterative scheme converges faster than some other schemes for generalized αm-nonexpansive mappings, a numerical example is shown at the end.

KW - AA-Iteration

KW - fixed point

KW - generalized α-nonexpansive mapping

KW - modular space

UR - https://www.scopus.com/pages/publications/85171850315

U2 - 10.3934/math.20231378

DO - 10.3934/math.20231378

M3 - Article

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VL - 8

SP - 26922

EP - 26944

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 11

ER -

Iterative approximation of fixed points of generalized α_m-nonexpansive mappings in modular spaces

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Keywords

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Research from Government College University in Mathematics Provides New Insights (Iterative approximation of fixed points of generalized $ \alpha _{m} $-nonexpansive mappings in modular spaces)

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Iterative approximation of fixed points of generalized αm-nonexpansive mappings in modular spaces

Abstract

Keywords

ASJC Scopus subject areas

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Research from Government College University in Mathematics Provides New Insights (Iterative approximation of fixed points of generalized $ \alpha _{m} $-nonexpansive mappings in modular spaces)

Cite this

Iterative approximation of fixed points of generalized α_m-nonexpansive mappings in modular spaces