Results 1 to 10 of about 3,250,694 (359)
Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]
Journal 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
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On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities. [PDF]
J Optim Theory Appl, 2018 In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is
Vuong PT.
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On Weak Statistical Convergence [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences ...
Vinod K. Bhardwaj, Indu Bala
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Weak Convergence and Weak Convergence [PDF]
Formalized Mathematics, 2015 Abstract In this article, we deal with weak convergence on sequences in real normed spaces, and weak* convergence on sequences in dual spaces of real normed spaces. In the first section, we proved some topological properties of dual spaces of real normed spaces. We used these theorems for proofs of Section 3.
Narita, Keiko +2 more
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On weak* convergence in 𝐻¹ [PDF]
Proceedings of the American Mathematical Society, 1996 A bounded sequence of functions in H 1 H^1 which converges in measure on a set of positive measure of the unit circle converges weak ∗ {}^* . An example is given to show that weak ∗ {}^* convergence cannot be replaced by weak ...
Joseph A. Cima, Alec Matheson
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Weak convergence theorem for Passty type asymptotically nonexpansive mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
B. K. Sharma, B. S. Thakur, Y. J. Cho
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Weak Convergence of Two Iteration Schemes in Banach Spaces [PDF]
Engineering and Technology Journal, 2019 In this paper, we established weak convergence theorems by using appropriate conditions for approximating common fixed points and equivalence between the convergence of the Picard-Mann iteration scheme and Liu et al iteration scheme in Banach spaces.
Salwa Abed, Zahraa Mohamed Hasan
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Weak convergence of explicit extragradient algorithms for solving equilibirum problems
Journal of Inequalities and Applications, 2019 This paper aims to propose two new algorithms that are developed by implementing inertial and subgradient techniques to solve the problem of pseudomonotone equilibrium problems.
Habib ur Rehman +3 more
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Discretizing the Heston Model: An Analysis of the Weak Convergence Rate
, 2016 In this manuscript we analyze the weak convergence rate of a discretization scheme for the Heston model. Under mild assumptions on the smoothness of the payoff and on the Feller index of the volatility process, respectively, we establish a weak ...
Altmayer, Martin, Neuenkirch, Andreas
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On weak convergence of quasi-infinitely divisible laws [PDF]
Pacific Journal of Mathematics, 2022 We study a new class of so-called quasi-infinitely divisible laws, which is a wide natural extension of the well known class of infinitely divisible laws through the L\'evy--Khinchine type representations.
A. Khartov
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