Dual existence theorems for a special class of linear programming problems in reflexive Banach lattices

In this work the existence of dual optimal solutions for a special class of linear programming problems in a reflexive Banach space is investigated. Then these statements are applied to linear optimization problems with Noethebian operator-constraints. Finally, a maximal condition for an optimal control problem with Noehebiari operator: constraints its Derived in L _∞[0,T].