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Research on multimodal data enhanced SLAM algorithm for global mapping of underground coal mines. [PDF]

Sci Rep
Hao M, Ren J, Ji X, Bi Y, Zhao S, Wu M.
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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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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, LILIANA GURAN, GABRIELA PETRUŞEL   +2 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, 2020
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Bota, Monica-Felicia, Guran, Liliana, Petruşel, Adrian   +2 more
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Fixed points vs. coupled fixed points

Journal of Fixed Point Theory and Applications, 2018
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A variational principle, fixed points and coupled fixed points on $$\mathbb {P}$$ sets

Journal of Fixed Point Theory and Applications
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Georgiev, Valentin, Ilchev, Atanas, Zlatanov, Boyan   +2 more
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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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Bifurcation of Fixed Points in Coupled Josephson Junctions

SIAM Journal on Mathematical Analysis, 1996
The paper deals with the investigation of fixed points of the system \(\varphi_1''+ \gamma\varphi_1'+ \sin\varphi_1+ k(\varphi_1-\varphi_2+H)=I\), \(\varphi_2''+ \gamma\varphi_2'+ \sin\varphi_2- k(\varphi_1-\varphi_2+H)=0\), which describes a pair of coupled Josephson junctions. Here \(\gamma\), \(k\), \(H\), \(I\) are constants with \(\gamma\) and \(k\
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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 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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