A slope generalization of Attouch theorem

A Daniilidis, D Salas, S Tapia-García - Mathematical Programming, 2024 - Springer
A classical result of variational analysis, known as Attouch theorem, establishes an
equivalence between epigraphical convergence of a sequence of proper convex lower …

Pointwise semi-Lipschitz functions and Banach-Stone theorems

E Durand-Cartagena, JÁ Jaramillo - arXiv preprint arXiv:2407.17574, 2024 - arxiv.org
We study the fundamental properties of pointwise semi-Lipschitz functions between
asymmetric spaces, which are the natural asymmetric counterpart of pointwise Lipschitz …

[PDF][PDF] Slopes and Moreau-Rockafellar Theorem

M Ivanov, N Zlateva - arXiv preprint arXiv:2309.03505, 2023 - arxiv.org
arXiv:2309.03505v1 [math.FA] 7 Sep 2023 Slopes and Moreau-Rockafellar Theorem Page 1
arXiv:2309.03505v1 [math.FA] 7 Sep 2023 Slopes and Moreau-Rockafellar Theorem M …

[PDF][PDF] A short tale about determination of functions

D Salas - tse-fr.eu
In the first part of the seminar, we will revise some literature concerning determination
results. The determination result of Rockafellar for convex functions [13], the determination …

Descent moduli and metric determination of functions

D Salas - eventos.cmm.uchile.cl
The fundamental theorem of calculus asserts that, for every two differentiable functions f, g:
Rn→ R one has that∇ f (x)=∇ g (x),∀ x∈ Rn=⇒ f= g+ c, for some constant c∈ R. This is …