新一類的罰非線性互補問題函數

Abstract

在這篇文章中，我們考慮一類罰非線性互補問題函數，它涵蓋了許多已經很有名的非線性互補問題函數。由這類非線性互補問題函數所得到的價值函數會有有界的水準集而且在一些條件下會有誤差界。In this paper, we consider a class of penalized NCP-functions, which includes several existing well-known NCP-functions as special cases. The merit function induced by the class of NCP-functions is shown to have bounded level sets and provide error bounds under mild conditions.