Results 101 to 110 of about 155 (137)
Some of the next articles are maybe not open access.
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.
G M Lee
exaly +2 more sources
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.
G M Lee
exaly +2 more sources
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 Kasyanov, Kasyanov P O
exaly +3 more sources
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 Kasyanov, Kasyanov P O
exaly +3 more sources
Cybernetics and Systems Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavlo Kasyanov, Kasyanov P O
exaly +3 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pavlo Kasyanov, Kasyanov P O
exaly +3 more sources
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.
Costea Nicusor, Vicentiu Radulescu
exaly +2 more sources
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.
Costea Nicusor, Vicentiu Radulescu
exaly +2 more sources
Generalized Variational Inequalities with Pseudomonotone Operators Under Perturbations
Journal of Optimization Theory and Applications, 1999Variational inequalities and generalized variational inequalities with perturbed operators and constraints are considered and convergence of solutions to such problems is proved under an assumption of pseudomonotonicity. The paper extends previous results given by the authors proved in the setting of monotone operators.
LIGNOLA, MARIA BEATRICE +1 more
openaire +3 more sources
Existence of zero points for pseudomonotone operators in Banach spaces
Journal of Global Optimization, 2008Based on the KKM principle by Ky Fan and on a minimax theorem of Kneser, the authors prove an existence result of zero points for pseudomonotone set-valued operators \(T:X\to 2^{E^*}\), where \(X\) is a nonempty closed convex subset of a Banach space \(E\).
Shin-ya Matsushita, Wataru Takahashi
openaire +2 more sources
Solution Existence of Variational Inequalities with Pseudomonotone Operators in the Sense of Brézis
Journal of Optimization Theory and Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kien, B. T. +3 more
openaire +1 more source
The Capacity for Pseudomonotone Operators
Potential Analysis, 2001The 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 ...
openaire +2 more sources
Pseudomonotone operators and the Bregman Proximal Point Algorithm
Journal of Global Optimization, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Noncoercive variational inequalities for pseudomonotone operators
Rendiconti del Seminario Matematico e Fisico di Milano, 1991Elliptic 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, \(
openaire +2 more sources