On monotone solutions of linear advanced equations.
Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Displaying similar documents to “-gap functions and descent methods for a class of monotone equilibrium problems.”
On monotone solutions of linear advanced equations.
On monotone and pointwise splittability
Lj. Kočinac (1991)
Matematički Vesnik
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Monotone trajectories of differential inclusions in Banach spaces.
Malaguti, Luisa (1996)
Journal of Convex Analysis
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Monotone solutions of some differential equations
Marko Švec (1967)
Colloquium Mathematicae
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Existence Of Monotone, ψ-Minimal Solutions Of Differential Inclusions
Nikolaos S. Papageorgiou (1991)
Publications de l'Institut Mathématique
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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).
Monotone normality and extension of functions
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 -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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].
A Cantor set in the plane that is not σ-monotone
Aleš Nekvinda, Ondřej Zindulka (2011)
Fundamenta Mathematicae
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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.