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Set-valued additive $$\rho $$ ρ -functional inequalities
Journal of Fixed Point Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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STABILITY AND SET-VALUED FUNCTIONS
1998Some 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 +2 more
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Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023
V. Khan +2 more
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V. Khan +2 more
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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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Complete Duality for Quasiconvex and Convex Set-Valued Functions
, 2014This paper provides a unique dual representation of set-valued lower semi-continuous quasiconvex and convex functions. The results are based on a duality result for increasing set-valued functions.
Samuel Drapeau, A. Hamel, Michael Kupper
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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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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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