Second-order necessary and sufficient conditions in multiobjective programming∗
Shouyang Wang · Numerical Functional Analysis and Optimization · 1991
In this paper we study second-order optimality conditions for the multi-objective programming problems with both inequality constraints and equality constraints. Two weak second-order constraint qualifications are introduced, and based on them we derive several second-order necessary conditions for a local weakly efficient solution. Two second-order sufficient conditions are also presented.