2 papers
math.OC2022
Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions
Ewa Bednarczuk, Giovanni Bruccola, Gabriele Scrivanti +1
We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ε-subdifferentials, by incorporating the moduli of weak convex…
math.OC2022
Duality for Composite Optimization Problem within the Framework of Abstract Convexity
The Hung Tran, Ewa Bednarczuk
We study conjugate and Lagrange dualities for composite optimization problems within the framework of abstract convexity. We provide conditions for zero duality gap in conjugate du…