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

B.S. Mordukhovich(boris***at***math.wayne.edu)
N. M. Nam(mau.nam.nguyen***at***pdx.edu)
R. B. Rector(r.b.rector***at***pdx.edu)
T. Tran(tuyen2***at***pdx.edu)

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 uni ed and simplified proofs based on the developed geometric variational schemes.

Keywords: Convex and variational analysis, Fenchel conjugates, normals and subgradients, coderivatives, convex calculus, optimal value functions

Category 1: Convex and Nonsmooth Optimization


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Entry Submitted: 10/17/2016
Entry Accepted: 10/17/2016
Entry Last Modified: 10/17/2016

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