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A critical remark on ‘‘Fixed point theorems for occasionally weakly compatible mappings

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Last updated: 31 Dec 2024

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Abstract

In the present paper, we show that under contractive conditions, the existence of a common
fixed point and occasional weak compatibility are equivalent conditions. We also show that
contractive conditions employed by Jungck and Rhoades [Fixed point theorems for occasionally
weakly compatible mappings, Fixed Point Theory 7(2) (2006) 287–296; Fixed Point Theory 9
(2008) 383–384 (erratum)] do not provide a nontrivial setting for the application of occasional weak
compatible mappings. Finally, we improve the results of Jungck and Rhoades by employing a
proper setting.

DOI

10.1016/j.joems.2013.03.010

Keywords

Fixed point theorems, Occasionally weakly compatible and (E.A.) property

Authors

First Name

Ravindra K.

Last Name

Bisht

MiddleName

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Affiliation

Department of Mathematics–Applied Sciences & Humanities, Bipin Tripahti Kumaon Institute of Technology, Dwarahat, 262 553 Almora, Uttarakhand, India

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Orcid

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First Name

R.P.

Last Name

Pant

MiddleName

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Affiliation

Department of Mathematics, D.S.B. Campus, Kumaun University, 263 002 Nainital, Uttarakhand, India

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Orcid

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Volume

21

Article Issue

2

Related Issue

50482

Issue Date

2013-08-01

Receive Date

2024-09-23

Publish Date

2013-08-01

Page Start

273

Page End

275

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 21_Issue 2_Pages 273-275.pdf

PDF . 307.9kB

Link

https://joems.journals.ekb.eg/article_381229.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381229

Order

381,229

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A critical remark on ‘‘Fixed point theorems for occasionally weakly compatible mappings

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Article

Created At

21 Dec 2024