GENERALIZED K-T CONDITIONS AND PENALTY FUNCTIONS FOR QUASIDIFFERENTIABLE PROGRAMMING
YinHongyou, XuChengxian · Acta Scientiarum Naturalium Universitatis Sunyatseni · 1999
In this paper,a quasidifferentiable programming problem with inequality constraintsis considered. First,a general form of optimality conditions for this problem is glven,which contains the results of Luderer,Kuntz and Scholtes. Next,a new generalized K-T condition is derived. The new optimality condition doesn't use Luderer's regularity assumption and ita Lagrangian multipliers don't depend on the particular elements in the superdifferentials of the object function and constraint functions, Finally,a penalty function for the prohlem is studied. Sufficient conditions of the penalty function attaining a global minimum are obtained.