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Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
doaj   +2 more sources

Weak and weak*I^K-convergence in normed spaces

open access: yesRatio Mathematica, 2023
The main object of this paper is to study the concept of weak $I^K$-convergence, a generalization of weak $I^*$-convergence of sequences in a normed space, introducing the idea of weak* $I^K$-convergence of sequences of functionals where $I,K$ are two ...
Mahendranath Paul, Amar Kumar Banerjee
doaj   +1 more source

Convergence of Weak*-Scalarly Integrable Functions

open access: yesAxioms, 2020
Let (Ω,F,μ) be a complete probability space, E a separable Banach space and E′ the topological dual vector space of E. We present some compactness results in LE′1E, the Banach space of weak*-scalarly integrable E′-valued functions.
Noureddine Sabiri, Mohamed Guessous
doaj   +1 more source

Weighted empirical FCLT for weakly dependent processes

open access: yesLietuvos Matematikos Rinkinys, 2005
This paper provides a weak convergence theorem for weighted empirical processes of a stationary sequence under a new weak dependence condition introduced by P. Doukhan and S. Louhichi.
Mindaugas Juodis
doaj   +3 more sources

Continuous Operators for Unbounded Convergence in Banach Lattices

open access: yesMathematics, 2022
Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the continuous operators with respect to unbounded convergences.
Zhangjun Wang, Zili Chen
doaj   +1 more source

Weak convergence under nonlinearities

open access: yesAnais da Academia Brasileira de Ciências, 2003
In this paper, we prove that if a Nemytskii operator maps Lp(omega, E) into Lq(omega, F), for p, q greater than 1, E, F separable Banach spaces and F reflexive, then a sequence that converge weakly and a.e. is sent to a weakly convergent sequence.
DIEGO R. MOREIRA, EDUARDO V. O. TEIXEIRA
doaj   +1 more source

Weak convergence of fixed point iterations in $S$-metric spaces [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of ...
Siva G, Loganathan S
doaj   +1 more source

Weak Convergence of $n$-Particle Systems Using Bilinear Forms [PDF]

open access: yes, 2013
The paper is concerned with the weak convergence of $n$-particle processes to deterministic stationary paths as $n\to\infty$. A Mosco type convergence of a class of bilinear forms is introduced.
Löbus, Jörg-Uwe
core   +1 more source

Approximate matrix and tensor diagonalization by unitary transformations: convergence of Jacobi-type algorithms [PDF]

open access: yes, 2020
We propose a gradient-based Jacobi algorithm for a class of maximization problems on the unitary group, with a focus on approximate diagonalization of complex matrices and tensors by unitary transformations. We provide weak convergence results, and prove
Comon, Pierre   +2 more
core   +2 more sources

Approximation Properties of the Vector Weak Rescaled Pure Greedy Algorithm

open access: yesMathematics, 2023
We first study the error performances of the Vector Weak Rescaled Pure Greedy Algorithm for simultaneous approximation with respect to a dictionary D in a Hilbert space.
Xu Xu   +3 more
doaj   +1 more source

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