Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
Copyright policy )Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
A new approach to local analysis of nonsmooth mappings from one Banach space into another is suggested. The approach is essentially based on the use of set-valued mappings of a special kind, called fans, for local approximation. Convex sets of linear operators provide an example of fans. Generally, fans can be considered a natural set-valued extension of linear operators. The first part of the paper presents a study of fans; the second is devoted to calculus and includes extensions of the main theorems of classical calculus.
generalized gradients, Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, generalized directional derivative, (generalized) normal and tangent cones, Fréchet and Gateaux differentiability in optimization
generalized gradients, Calculus of functions on infinite-dimensional spaces, Derivatives of functions in infinite-dimensional spaces, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, generalized directional derivative, (generalized) normal and tangent cones, Fréchet and Gateaux differentiability in optimization
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).181 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!