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Generalized variational inequalities [PDF]

Journal of Optimization Theory and Applications, 1982
This paper introduces and analyzes generalized variational inequalities. The most general existence theory is established, traditional coercivity conditions are extended, properties of solution sets under various monotonicity conditions are investigated, and a computational scheme is considered.
Shu-Cherng Fang, E. L. Peterson
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On vector variational inequalities

Journal of Optimization Theory and Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jen-Chih Yao, S. J. Yu
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Rearrangement in variational inequalities

Annali di Matematica Pura ed Applicata, 1984
The authors establish some isoperimetric inequalities for the solution of an obstacle problem in the case the coincidence set reaches the boundary. An optimal lower bound for the measure of the coincidence set is also obtained. The method of proof is based on the technique of rearrangements developed by \textit{G.
J. Mossino, C. Bandle
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Generalized variational inequalities and generalized quasi-variational inequalities

Applied Mathematics and Mechanics, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On vector variational inequalities

Journal of Optimization Theory and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Khaliq, Qamrul Hasan Ansari, Abul Hasan Siddiqi   +2 more
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Nonsmooth variational inequalities on Hadamard manifolds

Applicable Analysis, 2018
Nonsmooth variational inequality problem (NVIP) and Minty nonsmooth variational inequality problem (MNVIP) in terms of a bifunction are considered in the setting of Hadamard manifolds.
Q. Ansari, Monirul Islam, Jen-Chih Yao
semanticscholar   +1 more source

On Noncoercive Variational Inequalities

SIAM Journal on Numerical Analysis, 2014
We consider variational inequalities with different trial and test spaces and a possibly noncoercive bilinear form. Well-posedness is shown under general conditions that are, e.g., valid for the space-time variational formulation of parabolic variational inequalities.
Glas, Silke, Urban, Karsten
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Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities

Journal of Scientific Computing, 2022
Yonghong Yao, O. Iyiola, Y. Shehu
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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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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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