### Existence Of Monotone, ψ-Minimal Solutions Of Differential Inclusions

Nikolaos S. Papageorgiou (1991)

Publications de l'Institut Mathématique

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Nikolaos S. Papageorgiou (1991)

Publications de l'Institut Mathématique

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Kvinikadze, G. (1999)

Memoirs on Differential Equations and Mathematical Physics

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Lj. Kočinac (1991)

Matematički Vesnik

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Andrzej Smajdor (2006)

Annales Polonici Mathematici

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We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).

Marko Švec (1967)

Colloquium Mathematicae

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Domokos, A. (1997)

Mathematica Pannonica

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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 $T$ can be approximated by a sequence of maximal monotone operators of type NI, which converge to $T$ in a reasonable sense (in the sense of Kuratowski-Painleve convergence).

Ian Stares (1995)

Commentationes Mathematicae Universitatis Carolinae

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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of ${K}_{0}$-spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.

Konnov, Igor V., Pinyagina, Olga V. (2003)

Lobachevskii Journal of Mathematics

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Verma, Ram U. (2004)

Journal of Applied Mathematics and Stochastic Analysis

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