A weaker regularity condition for subdifferential calculus and Fenchel duality in infinite dimensional spaces

In this paper we present a new regularity condition for the subdifferential sum formula of a convex function with the precomposition of another convex function with a continuous linear mapping. This condition is formulated by using the epigraphs of the conjugates of the functions involved and turns...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 64; no. 12; pp. 2787 - 2804
Main Authors:	Boţ, Radu Ioan, Wanka, Gert
Format:	Journal Article
Language:	English
Published:	Oxford Elsevier Ltd 15.06.2006 Elsevier
Subjects:	Applied sciences Calculus of variations and optimal control Exact sciences and technology Fenchel duality Mathematical analysis Mathematical programming Mathematics Operational research and scientific management Operational research. Management science Regularity condition Sciences and techniques of general use Strong conical hull intersection property Subdifferential sum formula Subdifferential sum formula 90C46 90C25 Strong conical hull intersection property Fenchel duality 49N15 Regularity condition Subdifferential Nonlinear analysis Regularity 90C46 Regularity condition
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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