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Convergence of variational characteristics
Mathematical Notes, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence
Set-Valued and Variational Analysis, 2023H. T. Diem, P. Q. Khanh
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Pseudomonotone Variational Inequalities: Convergence of Proximal Methods
Journal of Optimization Theory and Applications, 2001Let \(H\) be a real Hilbert space and \(K\) be a closed convex subset of \(H\). For a given operator \(T: K\to H\), consider the problem of finding \(u\in K\) such that \[ \langle Tu,v-u\rangle\geq 0,\quad\text{for all }v\text{ in }K.\tag{1} \] Problem (1) is called the variational inequality problem.
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Strong convergence results for quasimonotone variational inequalities
Mathematical Methods of Operations Research, 2022T. O. Alakoya, O. Mewomo, Y. Shehu
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Convergences for variational inequalities and generalized variational inequalities
1997Summary: Let \(E\) be a topological vector space and consider, for any \(n\in\mathbb{N}\), the variational inequality: find \(u\in E\) such that \(f_n(u,w)+ \phi_n(u)\leq\phi_n(w)\) for any \(w\in E\), where \(f_n: E\to\mathbb{R}\) and \(\phi_n: E\to\mathbb{R}\cup\{+\infty\}\).
LIGNOLA, MARIA BEATRICE +1 more
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On variations via statistical convergence
Journal of Mathematical Analysis and Applications, 2019Starting from the concept of statistical convergence of a sequence of real numbers, related concepts, such as a statistical Cauchy sequence, statistical limit superior/inferior, statistical bounded sequence are stated. Then, several definitions for the notion of variability of functions or sequences are given, as e.g. regularly varying, rapidly varying.
Dutta, Hemen, Das, Shilpa
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Continuity of Usual Operations and Variational Convergences
Set-Valued Analysis, 2003Given two variationally convergent sequences of functions \(\{f_{n} \}\) and \(\{g_{n}\}\) under what assumptions does the sequence \(\{f_{n} \intercal g_{n} \}\) also variational converge (in the same sense), where \(\intercal\) is a binary operation?
Penot, Jean-Paul, Zălinescu, Constantin
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Convergence in Variation for Bernstein-Type Operators
Mediterranean Journal of Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bascanbaz-Tunca, Gulen +1 more
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