一致B_ε-(p,r)-不变凸多目标半无限规划ε-有效解的充分性

On Sufficiency of Efficient Solution for Uniform B_ε-(p,r)-Invex Multiobjective Semi-Infinite Programming

利用Clarke广义梯度,定义了一致Bε-(p,r)-不变凸函数和严格一致Bε-(p,r)-不变凸函数,研究了一类凸多目标半无限规划问题的最优性,得到了若干最优性充分条件。推广了许多涉及不变凸函数,B-不变凸函数,(p,r)-不变凸函数以及B-(p,r)-不变凸函数的文献的结论。

Uniform Bε-（p,r）-invex and strictly uniform Bε-（p,r）-invex function are defined in terms of Clarke generalized gradient,multiobjective semi-infinite programming problems are studied and optimality conditions are obtained in this paper.The work has generalized many results on programming problems with invex function,B-invex function,（p,r）-invex function and Bε-（p,r）-invex function.