Results 141 to 150 of about 2,948,048 (205)

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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A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces

Fuzzy Sets Syst., 2021
The aim of this paper is to develop a differential calculus for functions with values in a quasilinear metric space. Using only the metric on a quasilinear metric space and without using the Hukuhara difference, a new concept of derivative is introduced ...
V. Lupulescu, D. O’Regan
semanticscholar   +1 more source

Ekeland variational principles for set-valued functions with set perturbations

Optimization, 2020
By using generalized nonconvex separation functionals and a pre-order principle in Qiu [J Math Anal Appl. 2014;419:904–937], we establish a general set-valued Ekeland variational principle (briefly, denoted by EVP), where the objective function is a set ...
J. Qiu, Fei He
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Set-Valued Quadratic Functional Equations

Results in Mathematics, 2017
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Lee, Jung Rye, Park, Choonkil, Shin, Dong Yun, Yun, Sungsik   +3 more
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On $m$-convexity of set-valued functions

Advances in Operator Theory, 2019
We introduce the notion of an m-convex set-valued function and study some properties of this class of functions. Several characterizations are given as well as certain algebraic properties and examples.
Teodoro Lara, N. Merentes, Roy Quintero, E. Rosales   +3 more
semanticscholar   +1 more source

Statistics with set-valued functions: applications to inverse approximate optimization

Mathematical programming, 2017
Much of statistics relies upon four key elements: a law of large numbers, a calculus to operationalize stochastic convergence, a central limit theorem, and a framework for constructing local approximations.
A. Aswani
semanticscholar   +1 more source

Set-valued α-fractal functions

2022
In 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, Som, Tanmoy, Verma, Saurabh   +2 more
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Approximation of Set-Valued Functions

2013
Nira Dyn, Elza Farkhi, Alona Mokhov
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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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