Mordukhovich subdifferential of pointwise minimum of approximate convex functions

Abstract

We prove an inclusion formula for the Mordukhovich subdifferential of a pointwise minimum of approximate convex functions in finite-dimensional setting and show that this result provides a much sharper estimate than the existing general one.

Keywords:

• approximate convex functions
• subdifferential of minimum function
• Mordukhovich subdifferential
• calculus of subdifferentials

AMS Subject Classification :

• 46N10
• 65K10