Results 41 to 50 of about 511 (79)

L∞-error estimates of a finite element method for Hamilton-Jacobi-Bellman equations with nonlinear source terms with mixed boundary condition

Demonstratio Mathematica, 2021
In this paper, we introduce a new method to analyze the convergence of the standard finite element method for Hamilton-Jacobi-Bellman equation with noncoercive operators with nonlinear source terms with the mixed boundary conditions.
Miloudi Madjda, Saadi Samira, Haiour Mohamed   +2 more
doaj   +1 more source

Coincidence points of Mappings in Banach Spaces [PDF]

arXiv, 2018
In this article we prove an existence theorem for coincidence points of mappings in Banach spaces. This theorem generalizes the Kantorovich fixed point theorem.
arxiv  

Fixed point theorems for asymptotically contractive mappings [PDF]

arXiv, 2004
In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math. Soc., 131 (2003), 2371--2377].
arxiv  

Perron-Frobenius theorem for nonnegative multilinear forms and extensions [PDF]

, 2009
We prove an analog of Perron-Frobenius theorem for multilinear forms with nonnegative coefficients, and more generally, for polynomial maps with nonnegative coefficients. We determine the geometric convergence rate of the power algorithm to the unique normalized eigenvector.
arxiv   +1 more source

Some new fixed point theorems of α-partially nonexpansive mappings

Demonstratio Mathematica
In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
doaj   +1 more source

Strong convergence of modified Ishikawa iterations for nonlinear mappings [PDF]

arXiv, 2007
In this paper, we prove a strong convergence theorem of modified Ishikawa iterations for relatively asymptotically nonexpansive mappings in Banach space. Our results extend and improve the recent results by Nakajo, Takahashi, Kim, Xu, Matsushita and some others.
arxiv  

Mass transportation and contractions [PDF]

arXiv, 2011
According to a celebrated result of L. Caffarelli, every optimal mass transportation mapping pushing forward the standard Gaussian measure onto a log-concave measure $e^{-W} dx$ with $D^2 W \ge {Id}$ is 1-Lipschitz. We present a short survey of related results and various applications.
arxiv  

Signal recovery and polynomiographic visualization of modified Noor iteration of operators with property (E)

Demonstratio Mathematica
This article aims to provide a modified Noor iterative scheme to approximate the fixed points of generalized nonexpansive mappings with property (EE) called MN-iteration.
Paimsang Papinwich, Thianwan Tanakit
doaj   +1 more source

A Fixed Point Theorem for Kannan-type Maps in Metric Spaces [PDF]

arXiv, 2012
We prove a generalization of Kannan's fixed point theorem, based on a recent result of Vittorino Pata.
arxiv  

Solving nonlinear fractional differential equations by common fixed point results for a pair of (α, Θ)-type contractions in metric spaces

Demonstratio Mathematica
The problem of common solutions for nonlinear equations has significant theoretical and practical value. In this article, we first introduce a new concept of a pair of (α,Θ)\left(\alpha ,\Theta )-type contractions, and then, we present some common fixed ...
Wang Chao
doaj   +1 more source