On an iterative scheme for approximating fixed points

Qasim Ali; Azhar Hussain; Reny George; Shanza Hassan; Muhammad Adeel; Zoran D. Mitrović

doi:10.2298/FIL2412045A

On an iterative scheme for approximating fixed points

Qasim Ali, Azhar Hussain, Reny George, Shanza Hassan, Muhammad Adeel, Zoran D. Mitrović

Mathematics

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

Abstract

In this paper, we introduce a new three-steps iteration scheme for approximation of the fixed points for the nonexpansive mappings. We discuss the stability of the introduced scheme. Also, we obtain some results on weak and strong convergence for generalized nonexpansive mappings of Suzuki.

Original language	English
Pages (from-to)	4045-4055
Number of pages	11
Journal	Filomat
Volume	38
Issue number	12
DOIs	https://doi.org/10.2298/FIL2412045A
State	Published - 2024

Keywords

Generalized nonexpansive mapping
Nonexpansive mappings
Stability
Strong and weak convergence

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10.2298/FIL2412045A

Cite this

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title = "On an iterative scheme for approximating fixed points",

abstract = "In this paper, we introduce a new three-steps iteration scheme for approximation of the fixed points for the nonexpansive mappings. We discuss the stability of the introduced scheme. Also, we obtain some results on weak and strong convergence for generalized nonexpansive mappings of Suzuki.",

keywords = "Generalized nonexpansive mapping, Nonexpansive mappings, Stability, Strong and weak convergence",

author = "Qasim Ali and Azhar Hussain and Reny George and Shanza Hassan and Muhammad Adeel and Mitrovi{\'c}, \{Zoran D.\}",

year = "2024",

doi = "10.2298/FIL2412045A",

language = "English",

volume = "38",

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journal = "Filomat",

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T1 - On an iterative scheme for approximating fixed points

AU - Ali, Qasim

AU - Hussain, Azhar

AU - George, Reny

AU - Hassan, Shanza

AU - Adeel, Muhammad

AU - Mitrović, Zoran D.

PY - 2024

Y1 - 2024

N2 - In this paper, we introduce a new three-steps iteration scheme for approximation of the fixed points for the nonexpansive mappings. We discuss the stability of the introduced scheme. Also, we obtain some results on weak and strong convergence for generalized nonexpansive mappings of Suzuki.

AB - In this paper, we introduce a new three-steps iteration scheme for approximation of the fixed points for the nonexpansive mappings. We discuss the stability of the introduced scheme. Also, we obtain some results on weak and strong convergence for generalized nonexpansive mappings of Suzuki.

KW - Generalized nonexpansive mapping

KW - Nonexpansive mappings

KW - Stability

KW - Strong and weak convergence

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U2 - 10.2298/FIL2412045A

DO - 10.2298/FIL2412045A

M3 - Article

AN - SCOPUS:85198909027

SN - 0354-5180

VL - 38

SP - 4045

EP - 4055

JO - Filomat

JF - Filomat

IS - 12

ER -

On an iterative scheme for approximating fixed points

Abstract

Keywords

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