Results 81 to 90 of about 4,368,964 (211)
An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
Journal of Inequalities and Applications, 2007 We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality
Yonghong Yao +2 more
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Existence Results for System of Variational Inequality Problems with Semimonotone Operators
Journal of Inequalities and Applications, 2010 We introduce the system of variational inequality problems for semimonotone operators in reflexive Banach space. Using the Kakutani-Fan-Glicksberg fixed point theorem, we obtain some existence results for system of variational inequality problems for ...
Plubtieng Somyot, Sombut Kamonrat
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, 2015 If $- \infty < < < \infty $ and $f \in C^{3} \left( [ , ] \times {\bf R}^{2} , {\bf R} \right) $ is bounded, while $y \in C^{2} \left( [ , ] , {\bf R} \right) $ solves the typical one-dimensional problem of the calculus of variations to minimize the function $$F \left( y \right) = \int_{ }^{ }f \left( x, y(x), y'(x) \right) dx,$
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Variational inequalities, coincidence theory, and minimax inequalities
Applied Mathematics Letters, 2001 New fixed-point theorems in Frechet spaces are used to establish new variational inequalities, coincidence results, analytic alternatives, and minimax inequalities.
Agarwal, R.P., O'Regan, D.
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On Solvability of a Generalized Nonlinear Variational-Like Inequality
Journal of Inequalities and Applications, 2009 A new generalized nonlinear variational-like inequality is introduced and studied. By applying the auxiliary principle technique and KKM theory, we construct a new iterative algorithm for solving the generalized nonlinear variational-like inequality. By
Ume JeongSheok +3 more
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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
Journal of Applied Mathematics, 2012 We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Shu Lv +3 more
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Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques [PDF]
, 2010 Parabolic variational inequalities of Allen-Cahn and Cahn- Hilliard type are solved using methods involving constrained optimization. Time discrete variants are formulated with the help of Lagrange multipliers for local and non-local equality and ...
Blank, Luise +4 more
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Multi-Valued Parabolic Variational Inequalities and Related Variational-Hemivariational Inequalities
Advanced Nonlinear Studies, 2014 Abstract In this paper we study multi-valued parabolic variational inequalities involving quasilinear parabolic operators, and multi-valued integral terms over the underlying parabolic cylinder as well as over parts of the lateral parabolic boundary, where the multi-valued functions involved are assumed to be upper semicontinuous only ...
Carl, Siegfried, Le, Vy Khoi
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On solvability of general nonlinear variational-like inequalities in reflexive Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2005 We introduce and study a new class of general nonlinear variational-like inequalities in reflexive Banach spaces. By applying a minimax inequality, we establish two existence and uniqueness theorems of solutions for the general nonlinear variational-like
Zeqing Liu +3 more
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Optimal control of unilateral obstacle problem with a source term
, 2008 We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in $H^{2}$. We use an approximate technique to introduce a family of problems governed
Ghanem, Radouen
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