Results 11 to 20 of about 2,948,048 (205)
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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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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Spaces of Set-Valued Functions [PDF]
Transactions of the American Mathematical Society, 1972 If X X and Y Y are topological spaces, the set of all continuous functions from X X into C Y CY , the space of nonempty, compact subsets of Y Y with the finite topology, contains a copy (with singleton sets substituted for points) of
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Set-Valued Additive Functional Equations
Constructive Mathematical Analysis, 2019 In this paper, we introduce set-valued additive functional equations and prove the Hyers-Ulam stability of the set-valued additive functional equations by using the fixed point method.
Choonkil Park +3 more
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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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Polynomial set-valued functions [PDF]
Annales Polonici Mathematici, 1996 The author gives the notion of a polynomial set-valued function for a multifunction defined on a cone and having its values in the collection of convex compact subsets of a topological vector space. The criterion for a multifunction to be a polynomial set-valued function of order at most 2 is proved.
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Selections of generalized convex set-valued functions satisfying some inclusions
Journal of Mathematical Analysis and Applications, 2019 The main purpose of this article is to determine the existence of a unique selection of convex set-valued functions satisfying some generalized set-valued inclusions.
H. Khodaei
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Continuum-wise expansiveness and specification for set-valued functions and topological entropy [PDF]
, 2015 We define the concept of continuum wise expansive for set-valued functions and prove that if a compact metric space admit a set-valued $cw$-expansive function then the topological entropy of $X$ is positive.} We also introduce the notion of pointwise ...
W. Cordeiro, Maria Jos'e Pac'ifico
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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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On Lipschitzian operators of substitution generated by set-valued functions [PDF]
Opuscula Mathematica, 2007 We consider the Nemytskii operator, i.e., the operator of substitution, defined by \((N \phi)(x):=G(x,\phi(x))\), where \(G\) is a given multifunction. It is shown that if \(N\) maps a Hölder space \(H_{\alpha}\) into \(H_{\beta}\) and \(N\) fulfils the ...
Jakub Jan Ludew
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