Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance
Jean‐Paul Penot · SIAM Journal on Optimization · 2019
We consider minimization problems in which the constraints are defined by set-valued maps. Such problems appear when the constraints are not tight. We introduce constraint qualification conditions and multipliers, and we relate error bounds with such notions. Some new properties in nonsmooth analysis are proposed and used for such a purpose.