Stationarity and Regularity of Infinite Collections of Sets. Applications to Infinitely Constrained Optimization
This article continues the investigation of stationarity and regularity properties of infinite collections of sets in a Banach space started in Kruger and Lpez (J.Optim. Theory Appl. 154(2), 2012), and is mainly focused on the application of the stationarity criteria to infinitely constrained optimization problems. We consider several settings of optimization problems which involve (explicitly or implicitly) infinite collections of sets and deduce for them necessary conditions characterizing stationarity in terms of dual space elementsnormals and/or subdifferentials.
stationarity regularity infinitely constrained optimization optimality subdifferential normal cone extremality extremal principle asplund space