Results 231 to 240 of about 4,690 (265)

On the asymptotic regularity of nonexpansive mappings

Acta Mathematica Hungarica, 1986
Given a normed vector space X, a self-mapping P of X is said to be asymptotically regular if for every point x of X we have \(\| P^{n+1}x-P^ nx\| \to 0\) as \(n\to \infty\). First, a new and simple proof is given to the theorem of S. Ishikawa, namely: Theorem B: Let D be a subset of a normed space X and \(T: X\to X\) be a nonexpansive mapping.
exaly   +3 more sources

Asymptotic regularity for p-Laplacian equation

Journal of Mathematical Physics, 2010
This paper is devoted to proving some asymptotic regularity of the solutions of the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g(x) (p∊(2,N)) considered on a bounded domain Ω⊂RN(N≥3). The nonlinear term f satisfies the polynomial growth condition of arbitrary order c1|u|q−k≤f(u)u≤c2|u|q+k, where q≥2 is arbitrary.
Liu, Yuewei, Yang, Lu, Zhong, Chengkui
openaire   +1 more source

Asymptotically Regular Mappings

1997
We shall study in this chapter the existence of fixed points for a different class of mappings, called asymptotically regular mappings. The concept of asymptotically regular mappings is due to Browder and Petryshyn [BP]. Some fixed point theorems for this class of mappings can be found in [Gr1], [Gr2] and references therein.
J. M. Ayerbe Toledano   +2 more
openaire   +1 more source

Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junjie Zhang, Shenzhou Zheng
openaire   +2 more sources

Regularity of the Asymptotic Variance

2012
In this last chapter of Part II, we show that the asymptotic variance of the central limit theorem derived in Chap. 5 depends smoothly on the density of particles of the exclusion process. The smooth dependence of the diffusion coefficient on the density, illustrated here in a simpler context, is a crucial step in the proof of the hydrodynamic limit of
Tomasz Komorowski   +2 more
openaire   +1 more source

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