Optimality Conditions for Local Optimal Solutions of Major Constraints Programming

摘要

Three optimality conditions for local optimal solutions of major constraints programming are studied. By using the representation of major constraints set structure, Fritz John condition of local optimal solution is obtained. Kuhn-Tucker condition of the major constraints local optimal solution under K-T constraint qualification is established. At the same time, a sufficient optimality condition of major constraints local optimal solution under some convexity conditions is given.