The use of monotone norms in epigraphical analysis.
Volle, M. (1994)
Journal of Convex Analysis
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Displaying similar documents to “Non-archimedean monotone functions”
The use of monotone norms in epigraphical analysis.
On the points of multivaluedness of monotone operators
Zajíček, L.
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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.
Monotonicity, order smoothness and duality for convex functionals.
W. Kurc (1997)
Collectanea Mathematica
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In the paper concepts of pointwise and uniform strict monotonicity and order-smoothness for convex and monotone functionals on locally convex-solid Riesz spaces are studied.
Monotone Valuations on the Space of Convex Functions
L. Cavallina, A. Colesanti (2015)
Analysis and Geometry in Metric Spaces
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We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞. We study the valuations defined on Cn which are invariant under the composition with rigid motions, monotone and verify a certain type of continuity. We prove integral representations formulas for such valuations which are, in addition, simple or homogeneous.
Differential analysis of matrix convex functions. II.
Hansen, Frank, Tomiyama, Jun (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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