Strong Convergence in the Stochastic Averaging Principle
Journal of Mathematical Analysis and Applications, 1994 In this note we consider the almost sure convergence (as ϵ→0) of solution Xϵ(·), defined over the interval 0 ≤ τ ≤ 1, of the random ordinary differential equation View the MathML source Here {F(x, t, ω), t ≥ 0} is a strong mixing process for each x and (x, t) → F(x, t, ω) is subject to regularity conditions which ensure the existence of a unique ...
Heunis, A. J., Kouritzin, Michael
openaire +2 more sources
On Some Further Generalizations of Strong Convergence in Probabilistic Metric Spaces Using Ideals
Abstract and Applied Analysis, 2013 Following the line of (Das et al., 2011, Savas and Das, 2011), we make a new approach in this paper to extend the notion of strong convergence and more general strong statistical convergence (Şençimen and Pehlivan, 2008) using ideals and introduce the ...
Pratulananda Das +3 more
doaj +1 more source
Strong convergence rate of truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps. [PDF]
Front Math China, 2021 Gao S, Hu J, Tan L, Yuan C.
europepmc +1 more source
Strong Convergence Theorems for a Pair of Strictly Pseudononspreading Mappings
Journal of Mathematics, 2013 Let H be a real Hilbert space. Let T1,T2:H→H be k1-, k2-strictly pseudononspreading mappings; let αn and βn be two real sequences in (0,1). For given x0∈H, the sequence xn is generated iteratively by xn+1=βnxn+1-βnTw1αnγfxn+I-μαnBTw2xn, ∀n∈N, where Twi=1−
Bin-Chao Deng, Tong Chen
doaj +1 more source
Strong convergence theorems for Walsh–Fejér means [PDF]
Acta Mathematica Hungarica, 2013 As main result we prove that Fej r means of Walsh-Fourier series are uniformly bounded operators from $\ H_{p}$ to $H_{p}$ $\left ...
openaire +3 more sources
Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups
Fixed Point Theory and Applications, 2007 Motivated by T. Suzuki, we show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming.
Huimin He, Rudong Chen
doaj +1 more source
Weak Convergence of Semigroups Implies Strong Convergence of Weighted Averages [PDF]
Proceedings of the American Mathematical Society, 1976 For a fixed p , 1 ⩽ p > ∞ p,1 \leqslant p > \infty , let { T t : t > 0 } \{ {T_t}:t > 0\} be a strongly continuous semigroup of positive contractions on
openaire +1 more source
Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings
Fixed Point Theory and Applications, 2007 We modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.
Meijuan Shang +2 more
doaj +1 more source
Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space
Fixed Point Theory and Applications, 2009 We introduce a modified Ishikawa iterative process for approximating a fixed point of two infinitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and prove that the modified Ishikawa iterative sequence converges strongly to a ...
Yi-An Chen
doaj +1 more source
Strong Convergence of Distributions of Estimators
The Annals of Statistics, 1987 Let the parameter space \(\theta\) be an open subset of R k and \(\{T_ n\}^ a \)sequence of estimators of \(\vartheta\in \theta\). Assuming that the locally asymptotically normal condition is satisfied at \(\vartheta_ 0\in \theta\), the author obtained a sufficient condition which assures that for all \(\alpha >0\lim_{n\to \infty}\sup_{| h| \leq \alpha}
openaire +3 more sources