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Variational Inequality Problems with a Continuum of Solutions: Existence and Computation [PDF]
SIAM Journal on Control and Optimization, 2000 In this paper three sufficient conditions are provided under each of which an upper semi-continuous point-to-set mapping defined on an arbitrary polytope has a connected set of zero points that connect two distinct faces of the polytope. Furthermore, we obtain an existence theorem of a connected set of solutions to a nonlinear variational inequality ...
P. Jean-Jacques Herings +2 more
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Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
Journal of Applied Mathematics, 2014 We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
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The uniqueness of the solution for the definite problem of a parabolic variational inequality
Journal of Inequalities and Applications, 2016 The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
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Tykhonov well-posedness of split problems
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
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Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
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Deterministic Bi-Criteria Model for Solving Stochastic Mixed Vector Variational Inequality Problems
Mathematics, 2023 In this paper, we consider stochastic mixed vector variational inequality problems. Firstly, we present an equivalent form for the stochastic mixed vector variational inequality problems.
Meiju Luo, Menghan Du, Yue Zhang
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Inverse problems for quasi-variational inequalities
Journal of Global Optimization, 2017 In this short note, our aim is to investigate the inverse problem of parameter identification in quasi-variational inequalities. We develop an abstract nonsmooth regularization approach that subsumes the total variation regularization and permits the identification of discontinuous parameters.
Akhtar A. Khan, Dumitru Motreanu
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Pan-American Journal of Mathematics, 2022 In this paper we study vector mixed variational inequality problem under (η, C)-pseudomonotonicity and densely (η, f)-C-pseudo-monotonocity in reflexive Banach space.
Sujeet Kumar, Sabyasachi Pani
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Analysis and control of a nonlinear boundary value problem
Nonlinear Analysis, 2017 We consider a nonlinear two-dimensional boundary value problem which models the frictional contact of a bar with a rigid obstacle. The weak formulation of the problem is in the form of an elliptic variational inequality of the second kind.
Hadjer Hechaichi, Mircea Sofonea
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A New System of Multivalued Mixed Variational Inequality Problem
Abstract and Applied Analysis, 2014 We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases.
Xi Li, Xue-song Li
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