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Limiting Convex Examples for Nonconvex Subdifferential Calculus
Nonsmooth analysis subdifferentials coderivatives extremal principle open mapping theorem metric regularity multiplier rules compactly Lipschitzian conditions
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2009/1/23
We show, largely using convex examples, that most of the core results for limiting subdifferential calculus fail without additional restrictions in infinite dimensional Banach spaces.
A New Subdifferential in Quasiconvex Analysis
Greenberg-Pierskalla quasi-subdifferential Frechet subdifferential quasiconvexity
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2009/1/19
We introduce a new notion of subdifferential, which we call Q-subdifferential, for functions defined on subsets of normed spaces. The Q-subdifferential is a subset of the Greenbeg-Pierskalla quasi-sub...
Elements of Quasiconvex Subdifferential Calculus
Calculus subdifferential constructed lower subdifferential
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2009/1/13
A number of rules for the calculus of subdifferentials of generalized convex functions are displayed. The subdifferentials we use are among the most significant for this class of functions, in particu...