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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.
N. Takagi, Y. Nakamura, K. Nakashima
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Function Set-Valued Information Systems
2013Set-valued Information System (SIS) aims at dealing with attributes’ multi-values. It is an extension of the single-valued information system. In traditional SIS, the tolerance and dominance relations were introduced to deal with the relationship between objects.
Hongmei Chen +4 more
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Set Valued Functions: Equilibria—Games
2016It starts introducing as set valued functions production correspondences which must fulfil Shephard’s axioms. Competitive equilibria are discussed and Kakutani’s fixed point theorem is proven. The chapter ends with an application of this theorem in the theory of games. It investigates the existence and uniqueness of Nash (repelling) equilibria.
Wolfgang Eichhorn, Winfried Gleißner
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Topological entropy of Markov set-valued functions
Ergodic Theory and Dynamical Systems, 2019We investigate the entropy for a class of upper semi-continuous set-valued functions, called Markov set-valued functions, that are a generalization of single-valued Markov interval functions. It is known that the entropy of a Markov interval function can be found by calculating the entropy of an associated shift of finite type.
Alvin, Lori, Kelly, James P.
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K-subquadratic set-valued functions
Commentationes Mathematicae, 2014Let \(X=(X,+)\) be an arbitrary topological group. The aim of the paper is to prove a regularity theorem for K-subquadratic set-valued functions, that is, solutions of the inclusion $$ 2F(s)+2F(t)\subset F(s+t)+F(s-t)+K, \quad s,t\in X, $$ with values in a topological vector space and where \(K\) is a cone in this space.
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Semigroups of set-valued functions
Publicationes Mathematicae Debrecen, 1997Summary: It is proved that a measurable semigroup of linear continuous set-valued functions satisfying some additional assumptions is majorized by a one-parameter family of an exponential type generated by it.
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Local Compactness in Set Valued Function Spaces
Canadian Mathematical Bulletin, 1976Recently Hunsaker and Naimpally [2] have proved: The pointwise closure of an equicontinuous family of point compact relations from a compact T2-space to a locally compact uniform space is locally compact in the topology of uniform convergence. This is a generalization of the same result of Fuller [1] for single valued continuous functions.For a range ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Mappings versus Set-Valued Functions
2012Inverse limits with upper semicontinuous bonding functions exhibit fundamental differences from inverse limits with mappings in the sense that the theorems that hold when the bonding functions in an inverse limit sequence are mappings almost always fail if the bonding functions are set-valued.
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