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Set-valued functions and regularity
Proceedings 1997 27th International Symposium on Multiple- Valued Logic, 2002In this paper, we focus on regularity and set-valued functions. The regularity was first introduced by S.C. Kleene (1952) into the propositional connectives of a ternary logic. Then, M. Mukaidono (1986) expanded the regularity of Kleene into n-variable ternary functions, and a ternary function which is regular is called a regular ternary logic function.
Noboru Takagi +2 more
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Convergences of sequences of set-valued and fuzzy-set-valued functions
Fuzzy Sets and Systems, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee-Chae Jang, Joong-Sung Kwon
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Choquet integral Jensen’s inequalities for set-valued and fuzzy set-valued functions
Soft Computing, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deli Zhang +3 more
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Set-Valued Quadratic Functional Equations
Results in Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Jung Rye +3 more
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2015
Motivated by applications to optimization and control theory, modern analysis has shown an increasing interest in set-valued maps, to which most of the known results for single-valued maps can be adapted. In this chapter, we provide a quick introduction to set-valued analysis aiming to deduce a classical theorem which guarantees the existence of a ...
Piermarco Cannarsa, Teresa D’Aprile
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Motivated by applications to optimization and control theory, modern analysis has shown an increasing interest in set-valued maps, to which most of the known results for single-valued maps can be adapted. In this chapter, we provide a quick introduction to set-valued analysis aiming to deduce a classical theorem which guarantees the existence of a ...
Piermarco Cannarsa, Teresa D’Aprile
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The Metric Integral of Set-Valued Functions
Set-Valued and Variational Analysis, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nira Dyn, Elza Farkhi, Alona Mokhov
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Continuity of the Superposition of Set–Valued Functions
Journal of Applied Analysis, 1997Let \(T\), \(X\) and \(Y\) be topological spaces, and \(F: T\times X\to 2^Y\) a set-valued map. The authors give sufficient conditions on \(F\) under which the corresponding superposition operator \[ N_F(G)(t)= F(t,G(t)):= \bigcup_{x\in G(t)} F(t,x) \] is lower or upper semicontinuous. Thus, in constrast to a related paper by \textit{E.
Merentes, N., Nikodem, K., Rivas, S.
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On set-valued functions and Boolean collections
[1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic, 2003The notion of a Boolean collection of set is introduced, and several combinatorial aspects of these collections are exploited. These collections of set appear to play a role in the approximation of non-Boolean set-valued functions by Boolean functions and, therefore, are relevant in the study of biocircuits and in the study of circuits based on ...
Ratko Tosic +3 more
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K-epiderivatives for set-valued functions and optimization
Mathematical Methods of Operations Research, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giancarlo Bigi, Marco Castellani 0002
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On quadratic set valued functions
Publicationes Mathematicae Debrecen, 2022A set valued function \(U:{\mathbb{R}}\to 2^ X\) (where X is a real normed space) is said to be quadratic iff \(U(s+t)+U(s-t)=2U(s)+2U(t),\) for all s,\(t\in {\mathbb{R}}\). There is proved, among others, that if a quadratic set valued function U:\({\mathbb{R}}\to CC(X)\) (where CC(X) denotes the family of all compact, convex and non-empty subsets of X)
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