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We propose a new variational problem which we call the Split Variational Inequality Problem (SVIP). It entails finding a solution of one Variational Inequality Problem (VIP), the image of which under ...
Some modified extragradient approximation methods for variational inequality problems and equilibrium problems of nonexpansive mappings
Nonexpansive mappings Monotone L-Lipschitz continuous mapping
2010/9/13
In this paper, we introduce a modified extragradient approximation method for finding the common element of the set of fixed points of nonexpansive mapping, the set of solutions of an equilibrium prob...
On a Variational Inequality Containing a Memory Term with an Application in Electro-Chemical Machining
Evolutionary variational inequality existence uniqueness regularity and time evolution of the solution convex sets penalization method electro-chemical machining process
2009/1/22
An obstacle problem with a memory term is studied in the framework of the variational inequality theory. Applying a fixed point argument and a convergence result for convex sets the existence and uniq...
A descent algorithm for solving variational inequality problems
Variational inequality problem Descent algorithms
2010/9/14
Variational inequality problem can be formulated as a differentiable optimization problem [3]. We propose a descent method to solve the equivalent optimization problem inspired by the approach of Fuku...
New Concepts of Well-Posedness for Optimization Problems with Variational Inequality Constraint
Variational Inequalities Minimum Problems Set-Valued Functions Well-Posedness Monotonicity Hemicontinuity
2008/6/30
In this note we present a new concept of well-posedness for Optimization Problems with constraints described by parametric Variational Inequalities or parametric Minimum Problems. We investigate some ...
UNCONSTRAINED METHODS FOR GENERALIZED NONLINEAR COMPLEMENTARITY AND VARIATIONAL INEQUALITY PROBLEMS
2007/12/11
In this paper, we construct unconstrained methods for the generalized
nonlinear complementarity problem and variational inequalities. Properties of the correspondent unconstrained optimization
probl...
期刊信息
篇名
【4】Optimal control of the obstacle in a quasi-linear elliptic variational inequality
语种
英文
撰写或编译
作者
叶玉全,陈启宏
第一作者单位
刊物名称
Journal of Mathematical Analysis & Applications
页面
Vol 294, 258-272, (20...
期刊信息
篇名
【11】Bilateral obstacle optimal control for a quasilinear elliptic variational inequality
语种
英文
撰写或编译
作者
陈启宏,叶玉全
第一作者单位
刊物名称
Numerical FunctionalAnalysis andOptimization Accepted (2005)
页面
出版日...