Constraint Qualifications in Semi-Infinite Systems and Their Applications in Nonsmooth Semi-Infinite Problems with Mixed Constraints
Nader Kanzi · SIAM Journal on Optimization · 2014
In this paper, we present several constraint qualifications, and we show that conditions guarantee the nonvacuity of the Karush--Kuhn--Tucker multipliers set for nonsmooth semi-infinite programming problems with mixed constraints. The relationships with various constraint qualifications are investigated. All results are given in terms of the Michel--Penot subdifferential.