Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis

This paper develops a geometric approach of variational analysis for the case of convex objects considered in locally convex topological spaces and also in Banach space settings. Besides deriving in this way new results of convex calculus, we present an overview of some known achievements with their...

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Vydáno v:Set-valued and variational analysis Ročník 25; číslo 4; s. 731 - 755
Hlavní autoři: Mordukhovich, B. S., Nam, N. M., Rector, R. B., Tran, T.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Springer Netherlands 01.12.2017
Springer Nature B.V
Témata:
Analysis
Banach spaces
Calculus
Differential geometry
Mathematics
Mathematics and Statistics
Optimization
Variational geometry
90C31
Convex calculus
49J53
49J52
Normals and subgradients
Convex and variational analysis
Fenchel conjugates
Optimal value functions
Coderivatives
ISSN:1877-0533, 1877-0541
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Shrnutí:This paper develops a geometric approach of variational analysis for the case of convex objects considered in locally convex topological spaces and also in Banach space settings. Besides deriving in this way new results of convex calculus, we present an overview of some known achievements with their unified and simplified proofs based on the developed geometric variational schemes.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-017-0426-7