Results 111 to 120 of about 155 (137)

Exceptional Family of Elements, Leray–Schauder Alternative, Pseudomonotone Operators and Complementarity

Journal of Optimization Theory and Applications, 2001
The notion of exceptional family of elements for a set-valued mapping \(f\) on a Hilbert space \(H\), with respect to a closed pointed convex cone \(K\) in \(H\), is introduced. The main result of the paper shows that, for a set-valued pseudo-monotone mapping \(f\) on \(H\), the solvability of a complementary problem defined by \(f\) and \(K\) is ...
Isac, G., Kalashnikov, V. V.
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Multi-valued variational inequalities with K-pseudomonotone operators

Journal of Optimization Theory and Applications, 1994
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Differential-Operator Inclusions with $$W_{\lambda_0}$$ -Pseudomonotone Maps

2010
In this chapter differential-operator inclusions with non-coercive maps of the Volterra type are studied qualitative and constructively. Such objects describe new mathematical models of non-linear geophysical processes and fields, in particular, piezoelectric processes which require the developing of corresponding non-coercive theory and high-precision
Mikhail Z. Zgurovsky, Valery S. Mel’nik, Pavlo O. Kasyanov   +2 more
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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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A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators

Computational and Applied Mathematics, 2020
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Duong Viet Thong, Yekini Shehu, Olaniyi Samuel Iyiola   +2 more
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Generalized variational-like inequalities for pseudomonotone type II operators

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Chowdhury, Mohammad S. R., Thompson, H. B.   +1 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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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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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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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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