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K -subadditive andK -superadditive set-valued functions bounded on “large” setsWe prove that every K –subadditive set–valued map weakly K –upper bounded on a “large” set (e.g. not null–finite, not Haar–null or not a Haar–meager...
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Further remarks on local K-boundedness of K-subadditive set-valued maps
Let X be an abelian metric group with an invariant metric, Y be a real normed space and K be a convex cone in Y . We prove that a K -subadditive ( K -supe...
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Further results on positively homogeneous subadditive functions by using Csiszár f-divergence
In this paper, motivated by Kluza and Niezgoda (Math Inequal Appl 21(2):455–467, 2018) and Marinescu et al. (J Math Inequal 7:151–159, 2013), we...
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Another approach to K-subadditivity
In the paper the notion of weakly K -subadditive set-valued maps is introduced in such a way that F is weakly K -superadditive if and only if
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On separation by function of bounded variation
In the present paper we are concerned with the problem of separation of two given functions by an increasing (decreasing) function or by a function...
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Convergence of the Subadditive Quantities
We prove an algebraic rate of homogenization for the subadditive quantity $$\mu...
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Complex-valued Wigner entropy of a quantum state
It is common knowledge that the Wigner function of a quantum state may admit negative values, so that it cannot be viewed as a genuine probability...
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An Extension of a Class of Cost Sharing Methods to the Class of Solutions to Two-Person Cooperative Games
AbstractTwo-person games and cost/surplus sharing problems are worth of studying because they provide the basis for extension to the classes of such...
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Lipschitz (q, p)-Summing Maps from C(K)-Spaces to Metric Spaces
Variants of the notion of ( q , p )-summing operator are introduced in the setting of Lipschitz map**s acting between metric spaces. Some classes of...
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Reproduction Number Versus Turnover Number in Structured Discrete-Time Population Models
The analysis of the discrete-time dynamics of structured iteroparous populations involves a basic yearly turnover operator...
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A homogenization result in finite plasticity
We carry out a variational study for integral functionals that model the stored energy of a heterogeneous material governed by finite-strain...
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Stability results and separations theorems
The presented work summarizes the relationships between stability results and separation theorems. We prove the equivalence between different types...
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More Accurate Majorization Inequalities Obtained Via Superquadraticity and Convexity with Application to Entropies
Different terms such as variability, inequality and dispersion, which occur in various engineering problems and scientific fields, in mathematics are...
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Maximal Non-compactness of Sobolev Embeddings
It has been known that sharp Sobolev embeddings into weak Lebesgue spaces are non-compact but the question of whether the measure of non-compactness...
