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Fixed point theorems in complex valued metric spaces

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Last updated: 31 Dec 2024

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Abstract

The aim of this paper is to establish and prove several results on common fixed point
for a pair of mappings satisfying more general contraction conditions portrayed by rational expres-
sions having point-dependent control functions as coefficients in complex valued metric spaces. Our
results generalize and extend the results of Azam et al. (2011) [1], Sintunavarat and Kumam (2012)
[2], Rouzkard and Imdad (2012) [3], Sitthikul and Saejung (2012) [4] and Dass and Gupta (1975)
[5]. To substantiate the authenticity of our results and to distinguish them from existing ones, some
illustrative examples are also furnished.

DOI

10.1016/j.joems.2015.04.005

Keywords

common fixed point, Complex valued metric spaces, Complete complex valued metric spaces, Cauchy sequence, fixed point

Authors

First Name

Naval

Last Name

Singh

MiddleName

-

Affiliation

Govt. Science and Commerce College, Benazeer, Bhopal, Madhya Pradesh, India

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Orcid

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First Name

Deepak

Last Name

Singh

MiddleName

-

Affiliation

Department of Applied Sciences, NITTTR, Ministry of HRD, Govt. of India, Bhopal, Madhya Pradesh 462002, India

Email

-

City

-

Orcid

-

First Name

Anil

Last Name

Badal

MiddleName

-

Affiliation

Department of Mathematics, Barkatullah University, Bhopal, Madhya Pradesh, India

Email

-

City

-

Orcid

-

First Name

Vishal

Last Name

Joshi

MiddleName

-

Affiliation

Department of Mathematics, Jabalpur Engineering College, Jabalpur, Madhya Pradesh, India

Email

-

City

-

Orcid

-

Volume

24

Article Issue

3

Related Issue

51065

Issue Date

2016-09-01

Receive Date

2024-10-21

Publish Date

2016-09-01

Page Start

402

Page End

409

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_387289.html

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https://joems.journals.ekb.eg/service?article_code=387289

Order

387,289

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Fixed point theorems in complex valued metric spaces

Details

Type

Article

Created At

21 Dec 2024