Results 21 to 30 of about 10,614,760 (320)

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

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.
Anil J. Aswani
semanticscholar   +1 more source

Fixed points of set-valued mappings satisfying a Banach orbital condition

Cubo, 2023
In this note, we prove a fixed point existence theorem for set-valued functions by extending the usual Banach orbital condition concept for single valued mappings.
Raúl Fierro, Sergio Pizarro
doaj   +1 more source

Bumping algorithm for set-valued shifted tableaux [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We present an insertion algorithm of Robinson–Schensted type that applies to set-valued shifted Young tableaux. Our algorithm is a generalization of both set-valued non-shifted tableaux by Buch and non set-valued shifted tableaux by Worley and Sagan.
Takeshi Ikeda, Hiroshi Naruse, Yasuhide Numata   +2 more
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Interpolation of set-valued functions

IMA Journal of Numerical Analysis
Abstract Given a finite number of samples of a continuous set-valued function F, mapping an interval to compact subsets of the real line, we develop good approximations of F, which can be computed efficiently. In the first stage, we develop an efficient algorithm for computing an interpolant to $F$, inspired by the ‘metric polynomial ...
Qusay Muzaffar, Nira Dyn, David Levin
openaire   +3 more sources

Ekeland's Variational Principle for Set-Valued Functions [PDF]

SIAM Journal on Optimization, 2011
The authors extend Ekeland's variational principle to the case of set-valued mappings by using a set of directions and some particular partial orders related to it. Then, as an application they establish some sufficient conditions for the existence of an error bound of a finite system of inequalities of lower semicontinuous functions on a Banach space.
C. G. Liu, K. F. Ng
openaire   +1 more source

On Lipschitzian operators of substitution generated by set-valued functions [PDF]

Opuscula Mathematica, 2007
We consider the Nemytskii operator, i.e., the operator of substitution, defined by \((N \phi)(x):=G(x,\phi(x))\), where \(G\) is a given multifunction. It is shown that if \(N\) maps a Hölder space \(H_{\alpha}\) into \(H_{\beta}\) and \(N\) fulfils the ...
Jakub Jan Ludew
doaj  

Abstract Weyl-type theorems [PDF]

Mathematica Bohemica, 2016
In this paper, we give a new approach to the study of Weyl-type theorems. Precisely, we introduce the concepts of spectral valued and spectral partitioning functions.
Mohammed Berkani
doaj   +1 more source

Optimization of Set-Valued Functions

Journal of Mathematical Analysis and Applications, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Riemannian integral of set-valued function [PDF]

, 1975
Lebesgue integral of a set-valued function is a conception of growing importance for the theories of the optimal control and of the differential games (see for example [1]). For solving concrete problems it will be often useful to reduce a Lebegue set-integral to a riemannien one.
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Selections of generalized convex set-valued functions satisfying some inclusions

Journal of Mathematical Analysis and Applications, 2019
The main purpose of this article is to determine the existence of a unique selection of convex set-valued functions satisfying some generalized set-valued inclusions.
H. Khodaei
semanticscholar   +1 more source