Generalized Kuhn-Tucker Properly Efficient Solution Of Multiple Objective Programming

In this thesis, several supplements are made to Kuhn-Tucker properly efficient solution of multiobjective programming problems in finite-dimensional space. Afterwards, the concept of Kuhn-Tucker properly efficient solution is extended, in Banach space, generalized Kuhn-Tucker properly efficient solution and generalized Kuhn-Tucker weak-properly efficient solution are introduced. Some relationships between generalized Kuhn-Tucker properly efficient solution and Benson properly efficient solution, Borwein properly efficient solution, generalized Hartley properly efficient solution, Henig properly efficient solution and super efficient solution are discussed under appropriate conditions.