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 unified and simplified proofs based on the developed geometric variational schemes. © 2017, Springer Science+Business Media Dordrecht.

Authors
Mordukhovich B.S. 1, 2 , Nam N.M.3 , Rector R.B.3 , Tran T.3
Journal
Set-Valued Analysis
Number of issue
4
Language
English
Pages
731-755
Status
Published
Link
External link
DOI
10.1007/s11228-017-0426-7
Volume
25
Year
2017
Organizations
  • 1 Department of Mathematics, Wayne State University, Detroit, MI 48202, United States
  • 2 RUDN University, Moscow, 117198, Russian Federation
  • 3 Fariborz Maseeh Department of Mathematics and Statistics, Portland State University, Portland, OR 97207, United States
Keywords
Coderivatives; Convex and variational analysis; Convex calculus; Fenchel conjugates; Normals and subgradients; Optimal value functions
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5150/
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