CMTS上第III, s-III型膨胀映射的不动点定理

朴勇杰

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (8) : 976-984.

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PDF(283 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (8) : 976-984. DOI: 10.12341/jssms12162
论文

CMTS上第III, s-III型膨胀映射的不动点定理

    朴勇杰
作者信息 +

FIXED POINT THEOREMS FOR III, s-III TYPE EXPANSION MAPPINGS ON CMTS

    PIAO Yongjie
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文章历史 +

摘要

首先在CMTS上建立第III膨胀映射不动点存在定理,然后建立第s-III膨胀映射的概念并给出第s-III膨胀映射与其相关联的映射的唯一公共不动点存在定理,同时给出第s-III膨胀映射具有唯一不动点的结论.结论推广和改进了文献中所得到的结论.

Abstract

The purpose of this paper is to establish fixed point theorem for a III type expansion mapping on CMTS, then to introduce the concept of s-III type expansion
mappings and to obtain the unique common fixed point theorem for an s-III type expansion mapping and a corresponding mapping, and to give a unique fixed point esult for an s-III type expansion mapping. The results generalize and improve some corresponding conclusions in references.

关键词

第III膨胀映射 / 第s-III膨胀映射 / CMTS / 重合点 / 公共不动点 / 不动点.

Key words

III expansion mapping, s-III expansion mapping,  / CMTS, coincidence point,common fixed point, fixed point.

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朴勇杰. CMTS上第III, s-III型膨胀映射的不动点定理. 系统科学与数学, 2013, 33(8): 976-984. https://doi.org/10.12341/jssms12162
PIAO Yongjie. FIXED POINT THEOREMS FOR III, s-III TYPE EXPANSION MAPPINGS ON CMTS. Journal of Systems Science and Mathematical Sciences, 2013, 33(8): 976-984 https://doi.org/10.12341/jssms12162
中图分类号: 47H05    47H10    54E40   
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