Results 131 to 140 of about 514,187 (157)

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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The Capacity for Pseudomonotone Operators

Potential Analysis, 2001
The notion of capacity relative to the \(p\)-Laplacian is well known; recently \textit{G. Dal Maso} and \textit{I. V. Skrypnik} [Potential Anal. 7, No. 4, 765-803 (1997; Zbl 0887.31005)] have given a notion of capacity relative to nonlinear elliptic monotone operators of the type \(-\text{div}(a(x,\nabla u))\) and have used this notion to study the ...
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A new sufficiently descent algorithm for pseudomonotone nonlinear operator equations and signal reconstruction

Numerical Algorithms, 2023
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Aliyu Muhammed Awwal, Thongchai Botmart
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Existence Theorems for Nonlinear Differential Equations With Pseudomonotone Operators in Banach Spaces

International Review of Aerospace Engineering, 2023
exaly   +3 more sources

Continuity and Maximality Properties of Pseudomonotone Operators

Journal of Convex Analysis, 2003
Given a Banach space X, a multivalued operator T\colon X \to 2^{X^*} T
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Multivalued Dynamics of Solutions of Autonomous Operator Differential Equations With Pseudomonotone Nonlinearity

Mathematical Notes, 2012
A nonlinear evolution equation of the form \[ y'(t)+A(y(t))=f \] is considered for an evolutionary triple \(V\Subset H\equiv H^*\subset V^*\), where \(V\) is a reflexive separable Banach space, and \(H\) is Hilbert space. It is assumed that the nonlinear operator \(A:V\to V^*\) is pseudomonotone and satisfies certain dissipation and power growth ...
Pavlo O. Kasyanov
exaly   +3 more sources

Multivalued Dynamics of Solutions of an Autonomous Differential-Operator Inclusion With Pseudomonotone Nonlinearity

Cybernetics and Systems Analysis, 2011
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Pavlo O. Kasyanov
exaly   +3 more sources

Noncoercive variational inequalities for pseudomonotone operators

Rendiconti del Seminario Matematico e Fisico di Milano, 1991
Elliptic variational inequalities of the form \[ \langle Au, u- v\rangle+ j(u)\leq j(v)\qquad \forall v\in V\tag{1} \] have been widely considered in the literature in the coercive case, that is when the mapping \(u\mapsto \langle Au, u\rangle+ j(u)\) has a superlinear growth as \(\| u\|\to +\infty\). Here \(V\) is a reflexive separable Banach space, \(
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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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