Bounded approximants to monotone operators on Banach spaces
S. Fitzpatrick, R. R. Phelps (1992)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Topological degree for maximal monotone operators and application to parametric optimization problems.”
Bounded approximants to monotone operators on Banach spaces
Periodic solutions for quasilinear vector differential equations with maximal monotone terms
Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
Lectures on maximal monotone operators.
R. R. Phelps (1997)
Extracta Mathematicae
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These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.
About the inverse operations on the hyperespace of nonlinear monotone operators.
Hassan Riahi (1993)
Extracta Mathematicae
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Topological degree and application to a parabolic variational inequality problem.
Addou, A., Mermri, B. (2001)
International Journal of Mathematics and Mathematical Sciences
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Piecewise atone interpolation of monotone operators
Eduardo H. Zarantonello (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On maximal monotone operators with relatively compact range
Dariusz Zagrodny (2010)
Czechoslovak Mathematical Journal
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It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator can be approximated by a sequence of maximal monotone operators of type NI, which converge to in a reasonable sense (in the sense of Kuratowski-Painleve convergence).
On the maximality of the sum of two maximal monotone operators.
Hassan Riahi (1990)
Publicacions Matemàtiques
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In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: U λ (dom B - dom A) is a closed linear subspace of X.