Calculus Without Derivatives

347 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Optimal control of a non-smooth semilinear elliptic equation (2017, background): “, the textbooks [5, 32, 34, 29]; a more general, infinite-dimensional, treatment can be found in [25].”
Error Bounds and Hölder Metric Subregularity (2014, neutral): “, [15, 50, 62, 63]) at a point (x̄, ȳ) ∈ gph F with constant τ > 0 if there exist neighbourhoods U of x̄ and V of ȳ such that τd(x, F−1(ȳ)) ≤ d(ȳ, F (x) ∩ V ) for all x ∈ U.”
Lipschitz Networks and Distributional Robustness (2018, background): “If Ψ is closed, proper and convex then we achieve equality in (12) (Penot, 2012, Proposition 3.43, p. 214).”
Error bounds and metric subregularity (2014, background): “In [17], constant (9) is referred to as calmness rate or downward slope.”
METRIC REGULARITY—A SURVEY PART 1. THEORY (2016, background): “There are a number of monographs and survey articles in which subdifferentials are studied at various levels of generality: [91] (finite-dimensional theory), [17, 77, 85, 94] (Asplund spaces), [57, 85] (general Banach spaces), [22, 23] (generalized gradients).”