Some further relations between unperturbational and perturbational dual optimization problems

Abstract

We introduce and study two new concepts of “the perturbational dual problem corresponding to an unperturbational dual problem”, different from that of [14]. The first one is based on the primal value function and the second one is defined for primal problems with target sets. For both concepts, we show the relations between some main perturbational dual problems and the perturbational dual problems corresponding to some main unperturbational dual problems.

AMS 1980 Subject Classification:

• Primary: 90 C 48

Keywords:

• Unperturbational dual problem
• perturbational dual problem
• surrogate constraint sets
• surrogate constraint mapping