Sufficient optimality conditions for nonconvex control problems with state constraints (Q1106460)

The sufficient optimality conditions of \textit{V. Zeidan} [Appl. Math. Optimization 11, 209-226 (1984; Zbl 0558.49006); and Trans. Am. Math. Soc. 275, 561-586 (1983; Zbl 0513.49010)] for optimal control problems are generalized such that they are applicable to problems with pure state-variable inequality constraints. We derive conditions which do neither assume the concavity of the Hamiltonian nor the quasiconcavity of the constraints. Global as well as local optimality conditions are presented.