On existence and uniqueness of stationary points in semi-infinite optimization (Q1961986)

The semi-infinite optimization problems dealt with in this paper are those whose constraint sets are defined by finitely many equality and infinitely many inequality constraints. The author extends to this setting the concept of strong stability of a stationary point introduced by \textit{M. Kojima} [Analysis and computation of fixed points, Proc. Symp., Univ. Wis. 1979, 93-138 (1980; Zbl 0478.90062)] for problems with finitely many constraints, and presents several equivalent conditions.