FROM SCALAR TO VECTOR OPTIMALITY CONDITIONS
Vsevolod I. Ivanov · arXiv (Cornell University) · 2013
Second-order necessary and sufficient optimality conditio ns for vector nonlinear programming problems are studied in this paper. We introduce a notion of a pseudoconvex problem with inequality constraint. We derive conditions for effici ency of pseudoconvex problems. A new constraint qualification appears in them. We also obtain necessary and sufficient conditions for weak efficiency of problems with second-order pseu doconvex objective vector function and quasiconvex constraints.