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Probabilistic (omega, gamma, phi)-contractions and coupled coincidence point resultsopen access

Authors
Jain, DeepakJain, ManishPark, ChoonkilShin, Dong Yun
Issue Date
Aug-2021
Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
Keywords
Hadzic type t-norm; probabilistic (omega, gamma, phi)-contraction; coupled coincidence point; ordered Menger PM-space
Citation
AIMS MATHEMATICS, v.6, no.11, pp.11620 - 11630
Indexed
SCIE
SCOPUS
Journal Title
AIMS MATHEMATICS
Volume
6
Number
11
Start Page
11620
End Page
11630
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/141348
DOI
10.3934/math.2021675
ISSN
2473-6988
Abstract
In this paper, we introduce the notion of probabilistic (omega, gamma, phi)-contraction and establish the existence coupled coincidence points for mixed monotone operators subjected to the introduced contraction in the framework of ordered Menger PM-spaces with Hadzic type t-norm. As an application, a corresponding result in the setup of fuzzy metric space is also obtained.
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