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

作     者：Mordukhovich, B. S. Nam, N. M. Rector, R. B. Tran, T. 

作者机构：Wayne State Univ Dept Math Detroit MI 48202 USA RUDN Univ Moscow 117198 Russia Portland State Univ Fariborz Maseeh Dept Math & Stat Portland OR 97207 USA 

出 版 物：《SET-VALUED AND VARIATIONAL ANALYSIS》 (集值分析)

年 卷 期：2017年第25卷第4期

页      面：731-755页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Science Foundation [DMS-1007132, DMS-1512846, 1411817] Air Force Office of Scientific Research [15RT0462] Ministry of Education and Science of the Russian Federation [02.a03.21.0008] Direct For Mathematical & Physical Scien Division Of Mathematical Sciences Funding Source: National Science Foundation 

主　　题：Convex and variational analysis Fenchel conjugates Normals and subgradients Coderivatives Convex calculus Optimal value functions 

摘      要：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.