Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems

In this paper, we obtain characterizations of solution sets the interval-valued mathematical programming problems with switching constraints. Stationary conditions which are weaker than standard Karush–Kuhn–Tucker need to be discussed in order find necessary optimality conditions. We introduce corresponding weak, Mordukhovich, and strong stationary for constraints (IVPSC) tightened nonlinear (IVTNP), because W-stationary condition IVPSC is equivalent IVTNP. Furthermore, use characterize several solutions IVTNP, last ones particular at same time, feasible set (IVTNP) a subset programs (IVPSC).