高阶弧式连通不变凸多目标半无限规划的最优性条件

Optimality Conditions for Multiobjective Semi-Infinite Programming with Higher-Order Arcwise Connected Invex Functions

[目的]研究多目标半无限规划问题的最优性充分条件。[方法]利用弧式连通(AC)函数和次线性函数,定义了一类高阶(B,F)-AC-V-typeⅠ不变凸函数,在新广义凸性假设下研究了一类含有不等式约束的多目标半无限规划问题。[结果]得到了若干最优性充分条件。[结论]所得结果丰富了多目标半无限规划理论。

[Purposes]To study the sufficient optimality conditions for a class of multiobjective semi-infinite programming problems.[Methods]Some new concepts of higher order(B,F)-AC-V-typeⅠinvex functions are introduced by using the arcwise connected function and the sublinear function.Then a class of multiobjective semi-infinite programming problems including inequality constraints are considered under the new generalized functions.[Findings]Several sufficient optimality conditions are established.[Conclusions]The results are of great significance to the multiobjective semi-infinite programming theory.