Optimality Conditions via Norm Scalarization in Vector Optimization
Phan Quốc Khánh · SIAM Journal on Control and Optimization · 1993
An orthogonality concept in normed spaces is defined and used to obtain sufficient and necessary conditions for efficiency, weak efficiency, and proper efficiency via norm scalarization for the case of general (nonpointed) cones. As an application, a control approximation problem with a nonpointed ordering cone is considered.