Second Order Sufficient Optimality Condition for a Class of Major Constraints Vector Optimization Problem

摘要

Optimality condition of second order of major constraints vector optimization is researched. The concept of major constraints local Pareto weakly efficient solution in major constraints vector optimization is given. With the aid of the major constraint set and its structure representation, a sufficient optimality condition of second order of major constraint local Pareto weakly efficient solution is obtained. The result is useful for the further study of vector optimization theory and also is useful for the study of its numerical methods.