
doi: 10.3934/math.2021675
<abstract><p>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.</p></abstract>
coupled coincidence point, Fixed-point theorems, probabilistic \((\omega, \gamma, \phi)\)-contraction, Fixed-point and coincidence theorems (topological aspects), Hadžić type \(t\)-norm, ordered Menger PM-space
coupled coincidence point, Fixed-point theorems, probabilistic \((\omega, \gamma, \phi)\)-contraction, Fixed-point and coincidence theorems (topological aspects), Hadžić type \(t\)-norm, ordered Menger PM-space
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