Results 21 to 30 of about 5,112,881 (210)

System of Generalized Implicit Vector Quasivariational Inequalities

Journal of Inequalities and Applications, 2008
We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system of generalized vector quasivariational-like ...
Xiao-Ping Zheng, Jian-Wen Peng
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Deep Neural Network Structures Solving Variational Inequalities [PDF]

Set-Valued and Variational Analysis, 2018
Motivated by structures that appear in deep neural networks, we investigate nonlinear composite models alternating proximity and affine operators defined on different spaces. We first show that a wide range of activation operators used in neural networks
P. Combettes, J. Pesquet
semanticscholar   +1 more source

Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions

Fixed Point Theory, 2019
In this paper, we consider the problem of solving a general system of variational inequalities (GSVI) with a hierarchical variational inequality (HVI) constraint for countably many uniformly Lipschitzian pseudocontractive mappings and an accretive ...
L. Ceng, A. Petruşel, Jen-Chih Yao, Yonghong Yao   +3 more
semanticscholar   +1 more source

Outer approximation methods for solving variational inequalities in Hilbert space [PDF]

, 2017
In this paper, we study variational inequalities in a real Hilbert space, which are governed by a strongly monotone and Lipschitz continuous operator F over a closed and convex set C.
A. Gibali, S. Reich, Rafał Zalas
semanticscholar   +1 more source

Solvability of a class of set-valued implicit quasi-variational inequalities: A Wiener–Hopf equation method

Results in Control and Optimization, 2022
In this paper, we consider a class of set-valued implicit quasi-variational inequalities in real Banach spaces and show its equivalence with a class of fixed point equations and a class of Wiener–Hopf equations.
Mudasir A. Malik, Mohd Iqbal Bhat, Bisma Zahoor   +2 more
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An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems

Mathematics, 2019
In this paper, a generalized variational inequality and fixed points problem is presented. An iterative algorithm is introduced for finding a solution of the generalized variational inequalities and fixed point of two quasi-pseudocontractive operators ...
Yonghong Yao, M. Postolache, Jen-Chih Yao   +2 more
semanticscholar   +1 more source

The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

European Journal of Operational Research, 2018
Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
R. Boț, E. R. Csetnek, P. Vuong
semanticscholar   +1 more source

On a ``reversed'' variational inequality [PDF]

Topological Methods in Nonlinear Analysis, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sensitivity Analysis for Variational Inequalities [PDF]

Mathematics of Operations Research, 1992
In this paper we study the behavior of the local solutions of perturbed variational inequalities, governed by perturbations to both the variational inequality function and the feasible region. Assuming appropriate second-order and regularity conditions, we show that the perturbed local solution set is Lipschitz continuous and directionally ...
Yuping Qiu, Thomas L. Magnanti
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Variational Inequalities Revisited [PDF]

, 1986
This chapter solves the variational inequalities (or generalized equations). The chapter defines the lack of boundedness of K that is measured by its barrier cone, b(K). The degree of monotonicity of A is measured by a non-negative proper lower semicontinuous function β from X to ∪{+∞}. The chapter proves that the set-valued map A is β-monotone.
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