Results 291 to 300 of about 1,432,061 (307)

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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Coupled fixed points of nonlinear operators with applications

Nonlinear Analysis: Theory, Methods & Applications, 1987
A partir de quasi-solutions couplees des problemes aux valeurs initiales pour des equations differentielles ordinaires, on introuit le concept de points fixes couples abstraits pour certains operateurs.
Dajun Guo, Dajun Guo, V. Lakshmikantham
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A variational principle and coupled fixed points

Journal of Fixed Point Theory and Applications, 2019
We generalize Ekeland’s variational principle in partially ordered complete metric spaces on sets defined by functions with the mixed monotone property. We apply the result in giving an alternative proofs for coupled fixed points for mixed monotone maps in partially ordered complete metric spaces by using a variational technique.
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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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New fixed point theorems on b-metric spaces with applications to coupled fixed point theory

Journal of Fixed Point Theory and Applications, 2020
Let (X, d) be a complete b-metric space endowed with a partial order relation and $$f:X\rightarrow X$$ be a Ciric type operator. In this paper, an extended study of the fixed point equation $$x=f(x), \ x\in X$$ , is considered. As an application, coupled fixed point results are given in the same framework.
Monica-Felicia Bota   +2 more
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Coupled fixed point theorems for F-invariant set

Applied Mathematics & Information Sciences, 2013
In this paper, we extend and complement some recent results of coupled fixed point theorems of Luong and Thuan in (N. V. Luong, N. X. Thuan, Coupled fixed point theorems for mixed monotone mappings and an application to integral equations, Computers and Mathematics with Applications 62 (2011) 4238-4248.) by weaken the concept of the mixed monotone ...
Sintunavarat, Wutiphol   +3 more
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