CONSTRAINT QUALIFICATIONS IN SEMI-INFINITE SYSTEMS AND THEIR APPLICATIONS IN NONSMOOTH SEMI-INFINITE PROBLEMS WITH MIXED CONSTRAINTS?

摘要

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 semiinfinite programming problems with mixed constraints. The relationships with various constraint qualifications are investigated. All results are given in terms of the Michel–Penot subdifferential.