Open AccessProbabilistic $ (\omega, \gamma, \phi) $-contractions and coupled coincidence point results
Author(s) -
Manish Jain,
Deepak Kumar Jain,
Choonkil Park,
Dong Yun Shin
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021675
Subject(s) - omega , coincidence , mathematics , monotone polygon , probabilistic logic , norm (philosophy) , metric space , combinatorics , contraction (grammar) , monotonic function , discrete mathematics , physics , mathematical analysis , geometry , quantum mechanics , statistics , medicine , alternative medicine , pathology , political science , law
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 $-spaces with Had${\rm{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}} \over z} }}$ić type $ t $-norm. As an application, a corresponding result in the setup of fuzzy metric space is also obtained.