Approximating Fixed Points of Operators Satisfying the (Bγ,µ) Condition

Kifayat Ullah; Mujahid Abbas; Junaid Ahmad; Fayyaz Ahmad

doi:10.61186/ijmsi.19.1.135

Approximating Fixed Points of Operators Satisfying the (B_γ,µ) Condition

Kifayat Ullah
, Mujahid Abbas
, Junaid Ahmad
, Fayyaz Ahmad

University of Lakki Marwat
Government College University Lahore
International Islamic University Islamabad

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

1 Citation (Scopus)

Abstract

Suppose C is any nonempty subset of a Banach space X. A mapping T: C → C is said to satisfy condition (B_γ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0,1/2 ] with 2µ ≤ γ such that for each two elements (Formula presented). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature.

Original language	English
Pages (from-to)	135-148
Number of pages	14
Journal	Iranian Journal of Mathematical Sciences and Informatics
Volume	19
Issue number	1
DOIs	https://doi.org/10.61186/ijmsi.19.1.135
Publication status	Published - 2024
Externally published	Yes

Keywords

Banach space
Condition (B)
Condition (I)
Convergence result
Kiteration

ASJC Scopus subject areas

General Mathematics

Access to Document

10.61186/ijmsi.19.1.135

Cite this

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abstract = "Suppose C is any nonempty subset of a Banach space X. A mapping T: C → C is said to satisfy condition (Bγ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0,1/2 ] with 2µ ≤ γ such that for each two elements (Formula presented). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature.",

keywords = "Banach space, Condition (B), Condition (I), Convergence result, Kiteration",

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T1 - Approximating Fixed Points of Operators Satisfying the (Bγ,µ) Condition

AU - Ullah, Kifayat

AU - Abbas, Mujahid

AU - Ahmad, Junaid

AU - Ahmad, Fayyaz

PY - 2024

Y1 - 2024

N2 - Suppose C is any nonempty subset of a Banach space X. A mapping T: C → C is said to satisfy condition (Bγ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0,1/2 ] with 2µ ≤ γ such that for each two elements (Formula presented). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature.

AB - Suppose C is any nonempty subset of a Banach space X. A mapping T: C → C is said to satisfy condition (Bγ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0,1/2 ] with 2µ ≤ γ such that for each two elements (Formula presented). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature.

KW - Banach space

KW - Condition (B)

KW - Condition (I)

KW - Convergence result

KW - Kiteration

UR - https://www.scopus.com/pages/publications/85196106109

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DO - 10.61186/ijmsi.19.1.135

M3 - Article

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JF - Iranian Journal of Mathematical Sciences and Informatics

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