OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR NONSMOOTH VECTOR OPTIMIZATION PROBLEMS WITH THE MULTIPLE INTERVAL-VALUED OBJECTIVE FUNCTION

In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a （weakly） LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a （weakly） LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval- objective function are convex.

NECESSARY CONDITIONS FOR MAJOR OPTIMAL SOLUTIONS AND MAJOR EFFICIENT SOLUTIONS OF MULTIOBJECTIVE PROGRAMMING

In this papers the Fritz John conditions and Kuhn-Tucker conditions for majoroptimal solutions and major efficient solutions of multiobjective programming are givenand proved.

多目标规划αk—较多有效解的必要条件

本文给出并证明了多目标规划ak—较多有效解的Fritz John必要条件和Kuhn—Tucker必要条件。

Banach空间中多目标规划的局部有效解的必要条件

本文对Ｂａｎａｃｈ 空间中的多目标规划的局部有效解提出Ｆｒｉｔｚ Ｊｏｈｎ 必要条件和Ｋｕｈｎ－Ｔｕｃｋｅｒ必要条件，并且证明了多目标规划的Ｌａｇｒａｎｇｅ 正则性等价于一个标量规划问题的Ｌａｇｒａｎｇｅ 正则性．

多目标规划弱有效解的一个必要条件

针对具有等式和不等式约束的多目标规划的弱有效解 ,在相对较弱的条件下给出了一个介于著名的Fritz-John条件与

α-较多约束规划的最优性条件

研究α-较多约束规划的基本问题.在给出问题的α-较多约束集结构表示的基础上,证明了这类问题的α-较多约束最优解要满足的FritzJohn条件和Kuhn-Tucker条件.