Results 61 to 70 of about 617,384 (204)

INVERSE VARIATIONAL INEQUALITIES AND SECOND-ORDER DYNAMICAL SYSTEMS

Tạp chí Khoa học Đại học Đà Lạt
We consider the inverse variational inequality problem in finite-dimensional space and study its associated second-order dynamical system. In particular, we propose a second-order dynamical system whose trajectory converges exponentially to the solution
Quoc Thanh Trinh
doaj   +1 more source

Generalized Nonlinear Variational Inequality Problems with Random Variation

International Journal of Analysis and Applications
This text deals with exploring random solutions for generalized nonlinear variational inequality problems. By leveraging the Fan-KKM theorem and Aumann’s measurable selection theorem, we can establish the existence and uniqueness of random solution sets, given the conditions of monotonicity and convexity.
H. Gissy, . Salahuddin
openaire   +1 more source

Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
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A New Projection Algorithm for Generalized Variational Inequality

Journal of Inequalities and Applications, 2010
We propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous
Changjie Fang, Yiran He
doaj   +2 more sources

Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces

Journal of Inequalities and Applications, 2017
The purpose of this paper is to solve the hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach space.
Lu-Chuan Ceng, Yung-Yih Lur, Ching-Feng Wen   +2 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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Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem

Abstract and Applied Analysis, 2012
This paper discusses the monotone variational inequality over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping.
Thanyarat Jitpeera, Poom Kumam
doaj   +1 more source

Solving of a Variational Inequality Problem Under the Presence of Computational Errors

Mathematics
W. Takahashi and M. Toyoda (2003) proved weak convergence of an iteration process of solving a variational inequality problem for an inverse strongly-monotone mapping.
Alexander J. Zaslavski
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Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space

Journal of Inequalities and Applications, 2017
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
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Minty variational inequalities, increase-along-rays property and optimization [PDF]

Let E be a linear space, K E and f : K ? R. We put in terms of the lower Dini directional derivative a problem, referred to as GMV I(f ,K), which can be considered as a generalization of the Minty variational inequality of differential type (for short ...
Crespi Giovanni P., Ginchev Ivan, Rocca Matteo   +2 more
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