Results 111 to 120 of about 152 (147)

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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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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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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A new inertial-based method for solving pseudomonotone operator equations with application

Computational and Applied Mathematics, 2022
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Sani Aji, Poom Kumam, Aliyu Muhammed Awwal, Mahmoud Muhammad Yahaya, Abubakar Muhammad Bakoji   +4 more
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Multi-valued variational inequalities with K-pseudomonotone operators

Journal of Optimization Theory and Applications, 1994
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Pseudomonotone operators and the Bregman Proximal Point Algorithm

Journal of Global Optimization, 2009
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Existence of zero points for pseudomonotone operators in Banach spaces

Journal of Global Optimization, 2008
Based 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
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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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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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