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Jensen's inequalities for set-valued and fuzzy set-valued functions
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Deli +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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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.
Zhang, Deli +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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Set-valued α-fractal functions
2022In this paper, we introduce the concept of the $α$-fractal function and fractal approximation for a set-valued continuous map defined on a closed and bounded interval of real numbers. Also, we study some properties of such fractal functions. Further, we estimate the perturbation error between the given continuous function and its $α$-fractal function ...
Pandey, Megha +2 more
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High-Order Approximation of Set-Valued Functions
Constructive Approximation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dyn, Nira, Farkhi, Elza, Mokhov, Alona
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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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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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