Intersection formulae and the marginal function in Banach spaces
type: Item
instance of: scholarly article
title: Intersection formulae and the marginal function in Banach spaces
zbMATH Open document ID: 0831.46044
author: Yanyan Li
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-10-31T00:00:00Z
review text: Intersection formulae are central to the development of subdifferential calculus and the differentiation of marginal functions. In this paper, the author reexamines the connection between independence conditions and intersection formulae. Then he applies the formulae to a general parametric mathematical programming problem in which the constraints are defined by multivalued functions. These results allow him to obtain generalized chain rules for composite functions. Corollaries of this work include several well-known intersection formulae and calculus rules.
Mathematics Subject Classification ID: 46G05
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 811168
zbMATH Keywords: subdifferential calculus
zbMATH Keywords: differentiation of marginal functions
zbMATH Keywords: connection between independence conditions and intersection formulae
zbMATH Keywords: parametric mathematical programming problem
zbMATH Keywords: multivalued functions
zbMATH Keywords: generalized chain rules for composite functions
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1209
OpenAlex ID: W2051943091
DOI: 10.1006/JMAA.1995.1209
description: scientific article; zbMATH DE number 811168