Results 11 to 20 of about 52,187 (165)

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
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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
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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
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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
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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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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
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Cauchy Integral and Boundary Value for Vector-Valued Tempered Distributions

Axioms, 2022
Using the historically general growth condition on scalar-valued analytic functions, which have tempered distributions as boundary values, we show that vector-valued analytic functions in tubes TC=Rn+iC obtain vector-valued tempered distributions as ...
Richard D. Carmichael
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