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On Continuation for Variational Inequalities

SIAM Journal on Numerical Analysis, 1987
A predictor-corrector type method for the continuation along solution branches of nonlinear variational inequalities of the form \(a(u_ 0,u- u_ 0)\geq \lambda_ 0(F(u_ 0),u-u_ 0)\) is presented. On the basis of recent analytical results and previous work of the author this method is proposed for a class of obstacle problems. Numerical results are given.
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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   +2 more
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Solving Fuzzy Variational Inequalities

Fuzzy Optimization and Decision Making, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu-Cherng Fang, Cheng-Feng Hu
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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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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

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   +1 more
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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
semanticscholar   +1 more source

Strong convergence results for quasimonotone variational inequalities

Mathematical Methods of Operations Research, 2022
T. O. Alakoya, O. Mewomo, Y. Shehu
semanticscholar   +1 more source

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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Variational inequalities and rearrangements

1992
Summary: We give comparison results for solutions of variational inequalities, related to general elliptic second order operators, involving solutions of symmetrized problems, using Schwarz spherical symmetrization.
ALVINO, ANGELO   +2 more
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