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.
Displaying similar documents to “Variational Principles for Monotone and Maximal Bifunctions”
Lectures on maximal monotone operators.
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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Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators
Radu Ioan Boţ, Sorin-Mihai Grad (2011)
Open Mathematics
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In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions. The first regularity condition we give guarantees the surjectivity of the monotone operator S(· + p) + T(·), where p ɛ X and S and T are maximal monotone operators on the reflexive Banach space X. Then, this is used to obtain sufficient conditions for the surjectivity of S + T and for the situation...
On the points of multivaluedness of monotone operators
Zajíček, L.
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Multivalued monotone mappings are almost everywhere single-valued
P. Kenderov (1976)
Studia Mathematica
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Abstract Subdifferential Calculus and Semi-Convex Functions
Ivanov, Milen, Zlateva, Nadia (1997)
Serdica Mathematical Journal
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∗ The work is partially supported by NSFR Grant No MM 409/94. We develop an abstract subdifferential calculus for lower semicontinuous functions and investigate functions similar to convex functions. As application we give sufficient conditions for the integrability of a lower semicontinuous function.
Equilibrium of maximal monotone operator in a given set
Dariusz Zagrodny (2000)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in [10].
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).