https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Distinct differentiable functions may share the same Clarke subdifferential at all points https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13021 Wed 25 Sep 2024 15:13:10 AEST ]]> Generalized subdifferentials: a Baire categorical approach 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.]]> Tue 24 Sep 2024 15:32:51 AEST ]]> Fitzpatrick functions and continuous linear monotone operators https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12987 Tue 24 Sep 2024 09:54:40 AEST ]]> The Brezis–Browder Theorem in a general Banach space https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12912 Tue 22 Oct 2024 08:31:13 AEDT ]]> Every maximally monotone operator of Fitzpatrick–Phelps type is actually of dense type https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13511 Tue 17 Sep 2024 14:10:15 AEST ]]> The converse of the mean value theorem may fail generically https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13498 Tue 17 Sep 2024 13:21:11 AEST ]]> Construction of pathological maximally monotone operators on non-reflexive Banach spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12910 0 or its dual ℓ¹, admits a non type (D) operator. The existence of non type (D) operators in spaces containing ℓ¹ or c 0 has been proved recently by Bueno and Svaiter.]]> Thu 26 Sep 2024 11:28:44 AEST ]]> Lipschitz functions with maximal Clarke subdifferentials are generic https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12997 Thu 17 Oct 2024 14:08:48 AEDT ]]> Lipschitz functions with prescribed derivatives and subderivatives https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:14689 Sat 24 Mar 2018 08:19:10 AEDT ]]> Approximate subgradients and coderivatives in R<sup>n</sup> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13131 Sat 24 Mar 2018 08:15:42 AEDT ]]> On the construction of Hölder and proximal subderivatives https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13055 0 they are s-Hölder, and so proximally, subdifferentiable only on dyadic rationals and nowhere else. As applications we construct Lipschitz functions with prescribed Hölder and approximate subderivatives.]]> Sat 24 Mar 2018 08:15:39 AEDT ]]> Local Lipschitz-constant functions and maximal subdifferentials https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:13079 X* is the Clarke subdifferential of some locally Lipschitz function on X. Related results for approximate subdifferentials are also given. Moreover, on smooth Banach spaces, for every locally Lipschitz function with minimal Clarke subdifferential, one can obtain a maximal Clarke subdifferential map via its ‘local Lipschitz-constant’ function. Finally, some results concerning the characterization and calculus of local Lipschitz-constant functions are developed.]]> Sat 24 Mar 2018 08:15:37 AEDT ]]> Cone-montone functions: differentiability and continuity https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10018 Sat 24 Mar 2018 08:12:18 AEDT ]]> Rectangularity and paramonotonicity of maximally monotone operators https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:21273 Sat 24 Mar 2018 07:54:42 AEDT ]]> Monotone operators and "bigger conjugate" functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:16166 Sat 24 Mar 2018 07:52:27 AEDT ]]> Maximally monotone linear subspace extensions of monotone subspaces: explicit constructions and characterizations https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:20119 Sat 24 Mar 2018 07:51:46 AEDT ]]> Fitzpatrick functions, cyclic monotonicity and Rockafellar's antiderivative https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6475 Mon 30 Sep 2024 15:35:44 AEST ]]> Lipschitz functions with maximal Clarke subdifferentials are staunch https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:12980 Mon 30 Sep 2024 10:25:03 AEST ]]>