Approximations, expansions and univalued representations of multifunctions

Darinka Dentcheva

doi:10.1016/S0362-546X(99)00331-4

Approximations, expansions and univalued representations of multifunctions

Darinka Dentcheva

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Approximations that serve as local directional expansions of the multifunction is introduced. An extension of the notion semi-differentiability is presented. The notion is modified by using a metric convergence on the hyperspace of nonempty closed subsets of Y, which is better suited to the infinite-dimensional case.

Original language	English
Pages (from-to)	85-108
Number of pages	24
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/S0362-546X(99)00331-4
State	Published - Jul 2001

Keywords

Castaing representation
Delta theorems
Higher-order differentiable multifunctions
Selections
Wijsman topology

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10.1016/S0362-546X(99)00331-4

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title = "Approximations, expansions and univalued representations of multifunctions",

abstract = "Approximations that serve as local directional expansions of the multifunction is introduced. An extension of the notion semi-differentiability is presented. The notion is modified by using a metric convergence on the hyperspace of nonempty closed subsets of Y, which is better suited to the infinite-dimensional case.",

keywords = "Castaing representation, Delta theorems, Higher-order differentiable multifunctions, Selections, Wijsman topology",

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AU - Dentcheva, Darinka

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AB - Approximations that serve as local directional expansions of the multifunction is introduced. An extension of the notion semi-differentiability is presented. The notion is modified by using a metric convergence on the hyperspace of nonempty closed subsets of Y, which is better suited to the infinite-dimensional case.

KW - Castaing representation

KW - Delta theorems

KW - Higher-order differentiable multifunctions

KW - Selections

KW - Wijsman topology

UR - https://www.scopus.com/pages/publications/0035400803

UR - https://www.scopus.com/pages/publications/0035400803#tab=citedBy

U2 - 10.1016/S0362-546X(99)00331-4

DO - 10.1016/S0362-546X(99)00331-4

M3 - Article

AN - SCOPUS:0035400803

SN - 0362-546X

VL - 45

SP - 85

EP - 108

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 1

ER -

Approximations, expansions and univalued representations of multifunctions

Abstract

Keywords

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