Results 21 to 30 of about 238,080 (306)

A Characterization of Cone-Convexity for Set-Valued Functions by Cone-Quasiconvexity [PDF]

, 2015
A classical result by Crouzeix (1977) states that a real-valued function is convex if and only if any function obtained from it by adding a linear functional is quasiconvex.
Kuroiwa, Daishi, Popovici, Nicolae, ROCCA, MATTEO   +2 more
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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

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
doaj   +1 more source

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   +2 more sources

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

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.
openaire   +1 more source

SOME PROPERTIES OF N-INTEGRAL ON SET-VALUED FUNCTIONS

Barekeng
The Upper and Lower N-integrals were introduced in 2019 based on the concept of δ-fine partitions, which also underlies the Henstock–Kurzweil integral.
Corina Karim, Cornelia Yosefine Halim
doaj   +1 more source

Lagrangian Duality for Preinvex Set-Valued Functions [PDF]

, 1997
In this paper, generalizing the concept of cone convexity, we have defined cone preinvexity for set-valued functions and given an example in support of this generalization. A Farkas–Minkowski type theorem has been proved for these functions. A Lagrangian
Bhatia, Davinder, Mehra, Aparna
core   +1 more source

Convexity-preserving properties of set-valued ratios of affine functions [PDF]

, 2021
The aim of this paper is to introduce some classes of set-valued functions that preserve the convexity of sets by direct and inverse images. In particular, we show that the so-called set-valued ratios of affine functions represent such a class.
POPOVICI, Nicolae, ORZAN, Alexandru
core   +2 more sources