Necessary Optimality Conditions for Nonsmooth Multicriterial Optimization Problems
Tilo Staib · SIAM Journal on Optimization · 1992
Necessary optimality conditions of the first order are derived for nonsmooth non-convex constrained optimization problems where the cost mapping is vector-valued and all occurring spaces are infinite-dimensional. These necessary conditions are given in the Karush–Kuhn–Tucker formulation and hold for various optimality concepts as proper and weak efficiency. An investigation and comparison of different constraint qualifications is also included.