https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13022 Wed 11 Apr 2018 14:18:53 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12996 Wed 11 Apr 2018 14:03:41 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13023 m → R is arcwise essentially smooth on R^m and each function f_j : R^n → R, 1 ≤ j ≤ m, is strictly differentiable almost everywhere in Rⁿ, then g ○ f is strictly differentiable almost everywhere in Rⁿ, where f ≡ (f₁,f₂,...,f_m). We also show that all the semismooth and all the pseudoregular functions are arcwise essentially smooth. Thus, we provide a large and robust lattice algebra of Lipschitz functions whose generalized derivatives are well behaved.]]> Wed 11 Apr 2018 12:51:09 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12999 n} is a family of maximal cyclically monotone operators defined on a Banach space X then there exists a real-valued locally Lipschitz function g such that ∂0g(x) = co{T₁(x), T₂(x),..., Tn(x)} for each x ∈ X; in a separable Banach space each non-empty weak compact convex subset in the dual space is identically equal to the approximate subdifferential mapping of some Lipschitz function and for locally Lipschitz functions defined on separable spaces the notions of strong and weak integrability coincide.]]> Wed 11 Apr 2018 11:35:39 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:11145 Wed 11 Apr 2018 11:16:27 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:7182 Sat 24 Mar 2018 08:34:13 AEDT ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:14689 Sat 24 Mar 2018 08:19:10 AEDT ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13099 Sat 24 Mar 2018 08:15:13 AEDT ]]>