Sponsor
National Science Foundation grant #1411817.
Published In
Set-Valued and Variational Analysis
Document Type
Article
Publication Date
12-2017
Subjects
Convex geometry, Banach spaces, Mathematical optimization, Convex functions
Abstract
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. Key words. Convex and variational analysis, Fenchel conjugates, normals and subgradients, coderivatives, convex calculus, optimal value functions.
DOI
10.1007/s11228-017-0426-7
Persistent Identifier
http://archives.pdx.edu/ds/psu/24551
Citation Details
Mordukhovich, B. S., Nam, N. M., Rector, R. B., & Tran, T. (2017). Variational geometric approach to generalized differential and conjugate calculi in convex analysis. Set-Valued and Variational Analysis, 25(4), 731-755.
Description
This is a pre-print of an article published in Set-Valued and Variational Analysis . The final authenticated version is available online at: https://doi.org/10.1007/s11228-017-0426-7.