Weaker Constraint Qualifications in Maximal Monotonicity
Radu Ioan Boţ, Sorin‐Mihai Grad, Gert Wanka · Numerical Functional Analysis and Optimization · 2007
We give a sufficient condition, weaker than the others known so far, that guarantees that the sum of two maximal monotone operators on a reflexive Banach space is maximal monotone. Then we give a weak constraint qualification assuring the Brézis–Haraux-type approximation of the range of the sum of the subdifferentials of two proper convex lower-semicontinuous functions in nonreflexive Banach spaces, extending and correcting an earlier result due to Riahi.