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math.OC2023
A slope generalization of Attouch theorem
Aris Daniilidis, David Salas, Sebastián Tapia-García
A classical result of variational analysis, known as Attouch theorem, establishes the equivalence between epigraphical convergence of a sequence of proper convex lower semicontinuo…
math.OC2023
Steepest geometric descent for regularized quasiconvex functions
Aris Daniilidis, David Salas
We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping p…