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Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations

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Last updated: 31 Dec 2024

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Abstract

In this paper, we prove some fixed point theorems for weakly compatible mappings in
fuzzy metric spaces employing common limit range property with implicit relations. We also furnish
some illustrative examples to support our main results. As an application to our main result, we
derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive
common fixed point theorems involving any finite number of mappings. Our results improve and
extend a host of previously known results including the ones contained in the paper of Gopal
et al. (2011).

DOI

10.1016/j.joems.2014.05.008

Keywords

Fuzzy metric space, Compatible mappings, Weakly compatible mappings, Common limit range property, fixed point

Authors

First Name

Sunny

Last Name

Chauhan

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Affiliation

Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor 246 701, Uttar Pradesh, India

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First Name

Mohammad

Last Name

Imdad

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Affiliation

b Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

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First Name

Wutiphol

Last Name

Sintunavarat

MiddleName

-

Affiliation

Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand

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First Name

Yonghong

Last Name

Shen

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-

Affiliation

School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, PR China

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Volume

23

Article Issue

2

Related Issue

50528

Issue Date

2015-07-01

Receive Date

2024-09-29

Publish Date

2015-07-01

Page Start

334

Page End

342

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 2_Pages 334-342.pdf

PDF . 499.8kB

Link

https://joems.journals.ekb.eg/article_382533.html

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https://joems.journals.ekb.eg/service?article_code=382533

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382,533

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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

Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations

Details

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Article

Created At

21 Dec 2024