Study of a special nonlinear problem arising in convex semi-infinite programming
The authors consider convex semi-infinite programming (SIP) problems and present implicit optimality conditions by using a corresponding auxiliary nonlinear programming problem. This latter problem has a particular structure and it is constructed by using the so-called immobile indices and their immobility orders of the original SIP problem. Finally, a discussion of several optimality conditions for convex SIP problems is given, where, in particular, the case without Slater condition is considered.
scientific article; zbMATH DE number 5660166
scientific article