Nonlinear functional analysis and nonlinear partial differential equations
Browder, E.
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Displaying similar documents to “The aftermath of the intermediate value theorem.”
Nonlinear functional analysis and nonlinear partial differential equations
Monotone operators. A survey directed to applications to differential equations
Jan Franců (1990)
Aplikace matematiky
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The paper deals with the existence of solutions of the form with operators monotone in a broader sense, including pseudomonotone operators and operators satisfying conditions and . The first part of the paper which has a methodical character is concluded by the proof of an existence theorem for the equation on a reflexive separable Banach space with a bounded demicontinuous coercive operator satisfying condition . The second part which has a character of a survey compares various...
Parametric monotone generalized equations in reflexive Banach spaces.
Domokos, A. (1997)
Mathematica Pannonica
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Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces.
Zhou, Haiyun, Kartsatos, Athanassios G. (1997)
Abstract and Applied Analysis
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A DSM proof of surjectivity of monotone nonlinear mappings
A. G. Ramm (2009)
Annales Polonici Mathematici
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A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).
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).