Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis

DOI10.1007/978-3-7643-8482-1_4zbMath1149.28007OpenAlexW199571629MaRDI QIDQ3525244

Robert Baier

Publication date: 12 September 2008

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://epub.uni-bayreuth.de/5558/1/baier_vode_2006.pdf

zbMATH Keywords

quadrature formulaset-valued mappingDemyanov distancegeneralized {Steiner} point

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Numerical integration (65D30)

Cites Work

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• Approximation of convex set-valued functions
• Differentiable selections and Castaing representations of multifunctions
• Continuity of multifunctions characterized by Steiner selections.
• Integrals of set-valued functions
• Regularity and integration of set-valued maps represented by generalized Steiner points
• Moduli of smoothness of vector valued functions of a real variable and applications
• Second-Order Discrete Approximation to Linear Differential Inclusions
• Difference of compact sets in the sense of demyanov and its application to non-smooth analysis
• Regular Castaing Representations of Multifunctions with Applications to Stochastic Programming
• Random fixed points of set-valued operators
• The Bang-Bang Principle for Linear Control Systems
• Numerical Analysis and Its Applications

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