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Emergence of multifrequency activity in a laminar neural mass model

de Palma Aristides R, Clusella P, Sanchez-Todo R, Ruffini G, Garcia-Ojalvo J.   +4 more
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Coupled fixed points of nonlinear operators with applications

Nonlinear Analysis: Theory, Methods & Applications, 1987
Let \(D\) 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, Dajun Guo, V. Lakshmikantham
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Fixed points vs. coupled fixed points

Journal of Fixed Point Theory and Applications, 2018
In this paper, we will show some connections between fixed point and coupled fixed point problems in Banach and metric spaces.
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A variational principle and coupled fixed points

Journal of Fixed Point Theory and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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COUPLED FIXED POINTS OF SKEW INCREASING OPERATORS AND APPLICATIONS

Acta Mathematica Scientia, 1999
Let \(X\) be a Banach space with a partial ordering introduced by a cone \(K\) and let \(X_1, X_2\) be subspaces of \(X\) such that \(X_1\cup X_2= X\), \(X_1\cap X_2= \{0\}\). If \(F:X\to X\) is an operator in \(X\) then denote by \(F_i\) the term \(\pi_i\circ F\) (where \(\pi_i\) are the projections on \(X_i\)) for \(i\in \{1,2\}\).
Weian Liu, Yin Yang, Hua Chen
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Newton-Coupling of Fixed Point Iterations

1995
To solve a coupled system of two equations it may be intended not to use the Newton-Raphson method, for example due to the non-sparsity of the Jacobian of the entire system or because there exist solvers for the subsystems. For this type of problems we present an iterative Newton type method which requires only iterative solution steps for the single ...
Stefan Artlich, Wolfgang Mackens
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