Results 241 to 250 of about 962,049 (278)

High-Order Approximation of Set-Valued Functions

Constructive Approximation, 2022
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Dyn, Nira, Farkhi, Elza, Mokhov, Alona
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On quadratic set valued functions

Publicationes Mathematicae Debrecen, 2022
A 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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Set-valued additive $$\rho $$ ρ -functional inequalities

Journal of Fixed Point Theory and Applications, 2018
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STABILITY AND SET-VALUED FUNCTIONS

1998
Some interesting connections between the stability results of Chapter 1 as well as the theory of subadditive set-valued functions has been pointed out by several authors. We begin with a work by W. Smajdor (1986) which generalizes for set-valued functions some well-known theorems on linearity for ordinary functions, starting with an example (see also ...
Donald H. Hyers, George Isac, Themistocles M. Rassias   +2 more
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Set-valued functions and regularity

Proceedings 1997 27th International Symposium on Multiple- Valued Logic, 2002
In 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

2013
Set-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, Tianrui Li, Chuan Luo, Junbo Zhang, Xinjiang Li   +4 more
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Set Valued Functions: Equilibria—Games

2016
It 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, 2019
We 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, 2014
Let \(X=(X,+)\) 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, 1997
Summary: 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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