Results 11 to 20 of about 8,898 (310)
Differential variational inequalities [PDF]
Mathematical Programming, 2007 This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with ...
Jong-Shi Pang, David E. Stewart
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An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality
Journal of Applied Mathematics, 2020 This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques ...
Chengfu Wang, Pengcheng Wu, Yuying Zhou
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A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, 2022 This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive
Li-Jun Zhu, Tzu-Chien Yin
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A variational inequality for the derivative of the scalar play operator [PDF]
, 2021 We show that the directional derivative of the scalar play operator is the unique solution of a certain variational inequality. Due to the nature of the discontinuities involved, the variational inequality has an integral form based on the Kurzweil ...
Brokate, Martin, Krejčí, Pavel
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Journal of Mathematics, 2022 A mixed variational inequality problem involving generalized Yosida approximation operator is considered and studied in q-uniformly smooth Banach space.
Arvind Kumar Rajpoot +3 more
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Fixed Point Theory and Applications, 2006 We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study the existence of solution of general quasi ...
M. I. Bhat, K. R. Kazmi
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Computational Analysis of Variational Inequalities Using Mean Extra-Gradient Approach
Mathematics, 2022 An improved variational inequality strategy for dealing with variational inequality in a Hilbert space is proposed in this article as an alternative; if Hilbert space is used as the domain of interest, the original extra-gradient method is proposed for ...
Tingting Cai +3 more
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On a Class of Generalized Variational Inequalities and Quasi-Variational Inequalities
Journal of Mathematical Analysis and Applications, 1993 Il s'agit d'étudier le problème de l'existence de solutions pour une classe d'inégalités variationnelles généralisées et quasi- variationelles en hypothèses faibles. De cette manière les auteurs atteindent des résultats, qui étendent les résultats de \textit{F. E. Browder} [Math. Ann. 177,283-301 (1968; Zbl 0176.452)] et de \textit{P.
Chang, S.S., Zhang, C.J.
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Gap functions and error bounds for random generalized variational inequality problems
Journal of Inequalities and Applications, 2016 This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we ...
Suhel Ahmad Khan +2 more
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On the Generalized Nonlinear Variational Inequalities and Quasi-Variational Inequalities
Journal of Mathematical Analysis and Applications, 1996 The paper deals with two kinds of variational inequality problems: 1. (Generalized nonlinear variational inequality problem -- GNVI\((T,g,b,X)\)) Find \(\widehat x\in X\) and \(\widehat w\in T\widehat x\) such that \[ \text{Re}\langle\widehat w,g(\widehat x) -g(y)\rangle+ b(\widehat x,\widehat x)- b(\widehat x,y)\geq 0\;\forall y\in X; \] 2 ...
Yu, Su-Jane, Yao, Jen-Chih
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