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Coupled fixed point, $F$-invariant set and fixed point of $N$-order
Annals of Functional Analysis, 2010 In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of $F$-invariant set. We introduce the notion of fixed point of $N$-order as natural extension of that of coupled fixed point. As applications, we discuss and adapt the presented results to the setting of partially ordered cone ...
Calogero Vetro, Bessem Samet
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Discussion on some coupled fixed point theorems
Fixed Point Theory and Applications, 2013 Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; Rajic, Vesna Cojbasic/0000-0002-4566-0147; , Hassen/0000-0003-3896-3809; Samet, Bessem/0000-0002-6769-3417In this paper, we show that, unexpectedly, most of the coupled fixed point ...
Bessem Samet, Erdal Karapınar
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Fixed points vs. coupled fixed points
Journal of Fixed Point Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adrian Petrusel
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Coupled fixed point results in generalized metric spaces
Mathematical and Computer Modelling, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pranati Maity
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Coupled coincidence point and common coupled fixed point results in cone b-metric spaces [PDF]
Fixed Point Theory and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zaid Mohammed Fadail +1 more
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New fixed point theorems on b-metric spaces with applications to coupled fixed point theory
Journal of Fixed Point Theory and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bota, Monica-Felicia +2 more
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Fixed points and coupled fixed points in $b$-metric spaces via graphical contractions
Carpathian Journal of Mathematics, 2022"In this paper some existence and stability results for cyclic graphical contractions in complete metric spaces are given. An application to a coupled fixed point problem is also derived."
MONICA-FELICIA BOTA +2 more
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A variational principle, fixed points and coupled fixed points on $$\mathbb {P}$$ sets
Journal of Fixed Point Theory and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georgiev, Valentin +2 more
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Coupled fixed points of nonlinear operators with applications
Nonlinear Analysis: Theory, Methods & Applications, 1987Let \(D\) be a subset of a real Banach space \(E\), which is partially ordered by a cone \(P\) of \(E\). The operator \(A: D\times D\to E\) is mixed monotone if \(A(x,y)\) is nondecreasing in \(x\) and nonincreasing in \(x\). The point \((x',y')\) in \(D\times D\) is a coupled fixed point of \(A\) if \(A(x',y')=x'\) and \(A(y',x')=y'\).
Dajun Guo, V Lakshmikantham
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