Results 301 to 310 of about 4,524,029 (359)

ON AN INEQUALITY FOR GENERALIZED VARIATION

Analysis, 1984
The functions of k-th variation [in the sense of \textit{A. M. Russel}, Proc. Lond. Mat. Soc., III. Ser. 26, 547-563 (1973; Zbl 0254.26017)] are considered. Denote \[ S_ k=\{f;V_ k(f;a,b)
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Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds

, 2019
This paper is devoted to two efficient algorithms for solving variational inequality on Hadamard manifolds. The algorithms are inspired by Tseng's extragradient methods with new step sizes, established without the knowledge of the Lipschitz constant of ...
Junfeng Chen, Sanyang Liu, Xiaokai Chang
semanticscholar   +1 more source

A hybrid method without extrapolation step for solving variational inequality problems

Journal of Global Optimization, 2015
In this paper, we introduce a new method for solving variational inequality problems with monotone and Lipschitz-continuous mapping in Hilbert space. The iterative process is based on well-known projection method and the hybrid (or outer approximation ...
Yura Malitsky, V. Semenov
semanticscholar   +1 more source

VARIATIONAL INEQUALITIES IN COURNOT OLIGOPOLY

International Game Theory Review, 2007
Consider G = (X1,…,XM,g1,…,gM) an M-player game in strategic form, where the set Xi is an interval of real numbers and the payoff functions gi are differentiable with respect to the related variable xi ∈ Xi. If they are also concave, with respect to the related variable, then it is possible to associate to the game G a variational inequality which ...
C. A. PENSAVALLE, G. PIERI
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On Quasimonotone Variational Inequalities

Journal of Optimization Theory and Applications, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Some Noncoercive Variational Inequalities

Ukrainian Mathematical Journal, 2001
The authors study existence and regularity of solutions of two variational inequalities. The first one has the form: \[ \sum_{k=1}^{2}\sum_{i,j=1}^{n}\int_{\Omega_k}a_{ij}^k(u_k)'_{x_i} (v_k-u_k)'_{x_j}+\int_{\Omega_1}au_1(v_1-u_1) dx\geq \sum_{k=1}^{k}\langle f_k,v_k-u_k\rangle_k \quad \forall(v_1,v_2)\in K. \] Here \(\Omega_1,\Omega_2\) are such open
A. GALLO, PICCIRILLO, Anna Maria, L. TOSCANO   +2 more
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A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems

Computational and Applied Mathematics, 2022
T. O. Alakoya, V. A. Uzor, O. Mewomo
semanticscholar   +1 more source

Convergences for variational inequalities and generalized variational inequalities

1997
Summary: 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, MORGAN, JACQUELINE   +1 more
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Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity

Numerical Algorithms, 2021
G. Ogwo, C. Izuchukwu, O. Mewomo
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Optimal stochastic extragradient schemes for pseudomonotone stochastic variational inequality problems and their variants

Computational optimization and applications, 2014
We consider the stochastic variational inequality problem in which the map is expectation-valued in a component-wise sense. Much of the available convergence theory and rate statements for stochastic approximation schemes are limited to monotone maps ...
Aswin Kannan, U. Shanbhag
semanticscholar   +1 more source