single-value mapping

Kohil￣[1],In thispaper,the concept of single-value mapping was extended to set-value mapping and someproperties of S-continuity were discussed.

Ｋｏｈｉｌ给出了单值映射的Ｓ连续定义的概念。

The existence of the couple fixed points of a discontinuous mixed monotone multifunction is discussed,and the form of the couple fixed point is also given.

在赋范线性空间中引入单调弱闭集等概念 ,讨论了不具有任意连续性的混合单调集值映射耦合不动点的存在性问题 ,并且给出了耦合不动点的求解步骤以及它的构造形式。

This paper introduces a class of wider mixed monotone multifunction, anddiscusses some existence theorems of the coupled quasifixed points for these mappings.

本文引入一类较广的混合单调集值映射,并讨论它们的耦合拟不动点的存在性,推广并统一了〔1～4〕中的某些概念和结果,得出一些新结论。