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- W2949458429 abstract "In the early 1960's, Moreau and Rockafellar introduced a concept of called emph{subgradient} for convex functions, initiating the developments of theoretical and applied convex analysis. The needs of going beyond motivated the pioneer works by Clarke considering generalized differentiation theory of Lipschitz continuous functions. Although Clarke generalized differentiation theory is applicable for nonconvex functions, still plays a crucial role in Clarke subdifferential calculus. In the mid 1970's, Mordukhovich developed another generalized differentiation theory for nonconvex functions and set-valued mappings in which the umbilical cord with convexity no longer exists. The primary goal of this paper is to present a unified approach and shed new light on convex and Clarke generalized differentiation theories using the concepts and techniques from Mordukhovich's developments." @default.
- W2949458429 created "2019-06-27" @default.
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- W2949458429 date "2013-08-04" @default.
- W2949458429 modified "2023-09-27" @default.
- W2949458429 title "A Unified Approach to Convex and Convexified Generalized Differentiation of Nonsmooth Functions and Set-Valued Mappings" @default.
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- W2949458429 hasPublicationYear "2013" @default.
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