Results 21 to 30 of about 4,026,358 (295)
Strong convergence of modified Noor iterations
International Journal of Mathematics and Mathematical Sciences, 2006 In this paper, strong convergence theorem is obtained for the modified Noor iterations in the framework of uniformly smooth Banach spaces. Our results extend and improve the recent ones announced by Wittman, Kim, Xu, and some others.
Yongfu Su, Xiaolong Qin
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Strong Convergence of Mann’s Iteration Process in Banach Spaces
Mathematics, 2020 Mann’s iteration process for finding a fixed point of a nonexpansive mapping in a Banach space is considered. This process is known to converge weakly in some class of infinite-dimensional Banach spaces (e.g., uniformly convex Banach spaces with a ...
Hong-Kun Xu +2 more
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Strong convergence of peaks over a threshold
Journal of Applied Probability, 2023 AbstractExtreme value theory plays an important role in providing approximation results for the extremes of a sequence of independent random variables when their distribution is unknown. An important one is given by the generalised Pareto distribution $H_\gamma(x)$ as an approximation of the distribution $F_t(s(t)x)$ of the excesses over a ...
Padoan, Simone A., Rizzelli, Stefano
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Strong Convergence Theorems for Nonexpansive Mapping [PDF]
Journal of Systems Science and Complexity, 2007 Let \(C\) be a closed convex subset of a uniformly smooth Banach space \(E\) and \(T\) a nonexpansive selfmap of \(C\) with \(F(T) \neq \emptyset\). Given a point \(u \in C\) and an initial guess \(x_0 \in C\), the author proves the strong convergence of the iteration scheme defined by \(z_n = \gamma_nx_n + (1 - \gamma_n)Tx_n\), \(y_n = \beta_nx_n + (1
Yongfu Su, Xiaolong Qin
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Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals
Fixed Point Theory and Applications, 2008 We prove a convergence theorem by the new iterative method introduced by Takahashi et al. (2007). Our result does not use Bochner integrals so it is different from that by Takahashi et al. We also correct the strong convergence theorem recently proved by
Satit Saejung
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Infinite matrices and absolute almost convergence
International Journal of Mathematics and Mathematical Sciences, 1983 In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1].
Mursaleen
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Axioms, 2022 It is well-known in the literature that many analytical techniques are introduced in order to find a solution for problems such as functional, differential, and integral equations.
Kifayat Ullah +4 more
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The Strong Convergence of Schrodinger Propagators [PDF]
Transactions of the American Mathematical Society, 1981 Time dependent versions of the Trotter-Kato theorem are discussed using nonstandard analysis. Both standard and nonstandard results are obtained. In particular, it is shown that if a sequence of generators converges in the strong resolvent topology at each time to a limiting generator and if the sequence of generators and limiting generator uniformly ...
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On the Strong Convergence and Complete Convergence for Pairwise NQD Random Variables
Abstract and Applied Analysis, 2014 Let an,n≥1 be a sequence of positive constants with an/n↑ and let X,Xn,n≥1 be a sequence of pairwise negatively quadrant dependent random variables. The complete convergence for pairwise negatively quadrant dependent random variables is studied under ...
Aiting Shen, Ying Zhang, Andrei Volodin
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Lacunary strong $(A_\sigma, p)$-convergence
, 1972 summary:The definition of lacunary strongly convergence is extended to the definition of lacunary strong $(A_{\sigma }, p)$-convergence with respect to invariant mean when $A$ is an infinite matrix and $p = (p_i)$ is a strictly positive sequence.
Bilgin, Tunay, Paul Schaefer
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