Results 231 to 240 of about 370,511 (254)

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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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 \(i\in \{1,2\}\).
Liu, Weian, Yang, Yin, Chen, Hua
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RELATION-THEORETIC COUPLED FIXED POINT THEOREMS

Journal of Mathematical Analysis, 2022
In this paper, we introduce mixed R-monotone property of a mapping and utilize the same to investigate existence and uniqueness of coupled fixed points in a metric space endowed with a binary relation R. Moreover, we present some coupled fixed point results for mappings without mixed monotone property using relation-theoretic approach.
FARUK Sk, FAIZAN AHMAD KHAN, QAMRUL HAQ KHAN   +2 more
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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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ON COUPLED FIXED POINTS OF \alpha-\psi-CONTRACTIVE MULTIFUNCTIONS

JP Journal of Fixed Point Theory and Applications, 2015
Summary: The aim of this paper is to extend coupled fixed points of \(\alpha\)-\(\psi\)-contractive mappings to a-y-contractive multifunctions. Some examples are given to illustrate the result. The obtained result guaranties the existence of coupled fixed points of multifunctions on ordered metric spaces and contractive multifunctions.
Mohammadi, B., Alizadeh, E.
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Rational Contractions and Coupled Fixed Points

2018
The coupled fixed point statement in Nashine and Kadelburg (Nonlin Funct Anal Appl 17:471–489, 2012) is ultimately obtainable from fixed point principles involving rational contractions acting over appropriate metric spaces.
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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 \(A(y',x')=y'\).
Guo, Dajun, Lakshmikantham, V.
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Coupled Fixed Points in Partial Metric Spaces

Geometry, Integrability and Quantization, 2023
Atanas Ilchev, Diana Nedelcheva-Arnaudova   +1 more
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Coupled Fixed Points Revisited

Journal of Advanced Research in Applied Mathematics, 2014
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Coupled common fixed point results in two generalized metric spaces

Applied Mathematics and Computation, 2011
Mujahid Abbas, Talat Nazir, Khan Abdul Rahim   +2 more
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