Results 11 to 20 of about 237,737 (306)
On a Certain Generalized Functional Equation for Set-Valued Functions
Mathematics, 2020 The aim of the paper is to generalize results by Sikorska on some functional equations for set-valued functions. In the paper, a tool is described for solving a generalized type of an integral-functional equation for a set-valued function F:X→cc(Y ...
Yaroslav Bazaykin +3 more
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Set-Valued T-Translative Functions and Their Applications in Finance
Mathematics, 2021 A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued random
Andreas H. Hamel, Frank Heyde
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Spaces of Set-Valued Functions [PDF]
Transactions of the American Mathematical Society, 1972 If X X and Y
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Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems
Abstract and Applied Analysis, 2021 We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. We prove some implications of these two properties for set-valued functions and generalize some results from a ...
Koon Sang Wong, Zabidin Salleh
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Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]
, 2008 For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio +7 more
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Contributions to the theory of set valued functions and set valued measures [PDF]
Transactions of the American Mathematical Society, 1987 Measurable multifunctions and multimeasures with values in a Banach space are studied. We start by proving a variation of the known Dunford theorem for weak compactness in
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Integration of compact set-valued functions [PDF]
Pacific Journal of Mathematics, 1975 provided by applying the McShane ^-integral. This integral is a Riemann-type integral and includes the Bochner, Lebesgue and other types of integrals, and by using Riemann sums it avoids deep measure theory. Thus, the ^-integral of set-valued functions contains other types of integrals such as the Hukuhara and Debreu integrals. Generalizations of known
Artstein, Zvi, Burns, John A.
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Fixed points of set-valued mappings satisfying a Banach orbital condition
Cubo, 2023 In this note, we prove a fixed point existence theorem for set-valued functions by extending the usual Banach orbital condition concept for single valued mappings.
Raúl Fierro, Sergio Pizarro
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Ekeland's Variational Principle for Set-Valued Functions [PDF]
SIAM Journal on Optimization, 2011 The authors extend Ekeland's variational principle to the case of set-valued mappings by using a set of directions and some particular partial orders related to it. Then, as an application they establish some sufficient conditions for the existence of an error bound of a finite system of inequalities of lower semicontinuous functions on a Banach space.
C. G. Liu, K. F. Ng
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Bumping algorithm for set-valued shifted tableaux [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We present an insertion algorithm of Robinson–Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan.
Takeshi Ikeda +2 more
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