Results 101 to 110 of about 908 (118)

Two projection-based methods for bilevel pseudomonotone variational inequalities involving non-Lipschitz operators

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022
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Bing Tan, Sun Young Cho
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Convergence Analysis of Iterative Methods for Some Variational Inequalities with Pseudomonotone Operators

Differential Equations, 2001
The authors consider variational inequalities of the second kind with a pseudomonotone operator and a convex nondifferentiable functional in Banach spaces. A two-layer iterative method is proposed for solvability, which reduces the original variational inequality to one with a duality operator that has better properties than the original operator.
Badriev, I. B., Zadvornov, O. A., Saddek, A. M.   +2 more
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Solution Existence of Variational Inequalities with Pseudomonotone Operators in the Sense of Brézis

Journal of Optimization Theory and Applications, 2008
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Kien, B. T., Wong, M. M., Wong, N. C., Yao, J. C.   +3 more
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Differential-operator inclusions and multivariational inequalities with pseudomonotone mappings

Cybernetics and Systems Analysis, 2010
The author investigates functional-topological properties of resolving operators of differential inclusions and multi-variational inequalities with quasi-monotone mappings.
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An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators

Nonlinear Analysis: Theory, Methods & Applications, 2011
In this paper, a solution existence theorem for a generalized variational inequality problem with an operator which is defined on an infinite-dimensional space is given. By using a new technique which reduces infinite variational inequality problems to finite ones, the proof of the theorem is provided.
Kien, B. T., Lee, G. M.
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Hartman–Stampacchia results for stably pseudomonotone operators and non-linear hemivariational inequalities

Applicable Analysis, 2010
We are concerned with two classes of non-standard hemivariational inequalities. In the first case we establish a Hartman–Stampacchia type existence result in the framework of stably pseudomonotone operators. Next, we prove an existence result for a class of non-linear perturbations of canonical hemivariational inequalities.
Nicuşor Costea, Vicenţiu Rădulescu
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Pseudomonotone diagonal subdifferential operators

2013
Summary: Let \(f\) be an equilibrium bifunction defined on the product space \(\mathbb X\times \mathbb X\), where \(\mathbb X\) is a Banach space. If \(f\) is locally Lipschitz with respect to the second variable, for every \(x\in \mathbb X\) we define \(T_f(x)\) as the Clarke subdifferential of \(f(x,\cdot)\) evaluated at \(x\).
CASTELLANI, MARCO, GIULI, MASSIMILIANO
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Homogenization of variational inequalities and equations defined by pseudomonotone operators

Sbornik: Mathematics, 2008
Results on the convergence of sequences of solutions of non-linear equations and variational inequalities for obstacle problems are proved. The variational inequalities and equations are defined by a non-linear, pseudomonotone operator of the second order with periodic, rapidly oscillating coefficients and by sequences of functions characterizing the ...
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A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators

Computational and Applied Mathematics, 2020
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Thong, Duong Viet, Shehu, Yekini, Iyiola, Olaniyi S.   +2 more
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Pseudomonotone Operators, Bifurcation, and the von Kármán Plate Equations

1988
In this chapter we consider a plate which is clamped at the boundary. Our method of proof, however, can also be applied to other boundary conditions. We use the following tools: (I) Implicit function theorem (Theorem 4.B). (P) Main theorem about pseudomonotone operators (Theorem 27.A).
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