Results 91 to 100 of about 150 (124)
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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, Takahashi Wataru
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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.
B T Kien, J C Yao, Yao J C
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Generalized variational-like inequalities for pseudomonotone type II operators
Nonlinear Analysis: Theory, Methods & Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H B Thompson, Mohammad S R Chowdhury
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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 ...
G Isac, Kalashnikov V V, Isac G
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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 ...
G Isac, Kalashnikov V V, Isac G
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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
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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
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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
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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
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A new inertial-based method for solving pseudomonotone operator equations with application
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sani Aji +4 more
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Numerical Algorithms, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aliyu Muhammed Awwal, Thongchai Botmart
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Aliyu Muhammed Awwal, Thongchai Botmart
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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 ...
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Pseudomonotone operators and the Bregman Proximal Point Algorithm
Journal of Global Optimization, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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