Coincidences of Nonself Operators by a Simpler Algorithm

Faik Gürsoy; Abdul Rahim Khan; Müzeyyen Ertürk; Vatan Karakaya

doi:10.1080/01630563.2019.1620770

Coincidences of Nonself Operators by a Simpler Algorithm

Faik Gürsoy^*, Abdul Rahim Khan, Müzeyyen Ertürk, Vatan Karakaya

^*Corresponding author for this work

Department of Mathematics

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

7 Scopus citations

Abstract

In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.

Original language	English
Pages (from-to)	192-208
Number of pages	17
Journal	Numerical Functional Analysis and Optimization
Volume	41
Issue number	2
DOIs	https://doi.org/10.1080/01630563.2019.1620770
State	Published - 25 Jan 2020

Bibliographical note

Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.

Keywords

Banach space
Jungck-Khan iterative algorithm
data dependency
strong convergence

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630563.2019.1620770

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abstract = "In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.",

keywords = "Banach space, Jungck-Khan iterative algorithm, data dependency, strong convergence",

author = "Faik G{\"u}rsoy and Khan, {Abdul Rahim} and M{\"u}zeyyen Ert{\"u}rk and Vatan Karakaya",

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AU - Gürsoy, Faik

AU - Khan, Abdul Rahim

AU - Ertürk, Müzeyyen

AU - Karakaya, Vatan

PY - 2020/1/25

Y1 - 2020/1/25

N2 - In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.

AB - In this article, we introduce a new class of contractive mappings and study analytical and computational aspects of a special case of Jungck-Khan iterative algorithm generated by this class of mappings. In particular, we improve upon strong convergence, rate of convergence and data dependence results existing in the current literature. Analytical as well numerical illustrative examples are given to support the new results.

KW - Banach space

KW - Jungck-Khan iterative algorithm

KW - data dependency

KW - strong convergence

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DO - 10.1080/01630563.2019.1620770

M3 - Article

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JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 2

ER -

Coincidences of Nonself Operators by a Simpler Algorithm

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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