Nader Kanzi - Department of Mathematics‎, ‎Payame Noor University, ‎P.O‎. ‎Box‎. ‎۱۹۳۹۵-۳۶۹۷‎, ‎Tehran‎, ‎Iran

‎This paper proposes a new form of optimization problem which is a two-level programming problem with infinitely many lower level constraints‎. ‎Firstly‎, ‎we consider some lower level constraint qualifications (CQs) for this problem‎. ‎Then‎, ‎under these CQs‎, ‎we derive formula for estimating the subdifferential of its valued function‎. ‎Finally‎, ‎we present some necessary optimality conditions as Fritz-John type for the problem.

Two-level programming, Constraint qualification, Optimality conditions, Lower level problem