Results 41 to 50 of about 5,112,881 (210)
A System of Differential Set-Valued Variational Inequalities in Finite Dimensional Spaces
Journal of Function Spaces, 2014 A system of differential set-valued variational inequalities is introduced and studied in finite dimensional Euclidean spaces. An existence theorem of weak solutions for the system of differential set-valued variational inequalities in the sense of ...
Wei Li, Xing Wang, Nan-Jing Huang
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System of Extended General Variational Inequalities for Relaxed Cocoercive Mappings in Hilbert Space
Mathematics, 2018 In this manuscript, we study a system of extended general variational inequalities (SEGVI) with several nonlinear operators, more precisely, six relaxed ( α , r ) -cocoercive mappings.
Kyung Soo Kim
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Journal of Inequalities and Applications, 2021 For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
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Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
Journal of Computational and Applied Mathematics, 2018 The purpose of this paper is to study and analyze two different kinds of inertial type iterative methods for solving variational inequality problems involving strongly pseudomonotone and Lipschitz continuous operators in Hilbert spaces.
D. Thong, D. Hieu
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On the optimal control of variational–hemivariational inequalities [PDF]
Journal of Mathematical Analysis and Applications, 2019 The present paper represents a continuation of [26] . There, a continuous dependence result for the solution of an elliptic variational–hemivariational inequality was obtained and then used to prove the existence of optimal pairs for two associated ...
Yi-bin Xiao, M. Sofonea
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On the General Variational Inequality
Journal of Mathematical Analysis and Applications, 1993 Given \(f,g: R^ n\to R^ n\) nonlinear mappings and \(K\), a closed convex set in \(R^ n\), the author considers the problem of finding \(u\in K\) such that (1) \(\langle f(u), g(v)- g(u)\rangle\geq 0\) for all \(v\in K\), which is known as a general variational inequality problem, being a special case of the problem as formulated by the reviewer [Appl.
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On the optimal control for variational inequalities [PDF]
Journal of Optimization Theory and Applications, 1976 We prove an existence theorem for the optimal control of variational inequalities governed by a pseudomonotone operator: the cost is assumed to be quadratic. Then, we give an extension of the theorem to more general costs (assuming the operator to be monotone); we also give a result on a perturbation problem.
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On a class of generalized stochastic Browder mixed variational inequalities
Journal of Inequalities and Applications, 2020 In this paper, we introduce a class of stochastic variational inequalities generated from the Browder variational inequalities. First, the existence of solutions for these generalized stochastic Browder mixed variational inequalities (GS-BMVI) are ...
Chao Min +3 more
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Absolute Value Variational Inequalities and Dynamical Systems
International Journal of Analysis and Applications, 2020 In this paper, we consider the absolute value variational inequalities. We propose and analyze the projected dynamical system associated with absolute value variational inequalities by using the projection method.
Safeera Batool +2 more
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Journal of Applied Mathematics, 2013 We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces.
Linsen Xie, Jinlu Li, Wenshan Yang
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