凸度量空间中单值和集值映象的公共不动点定理

数学季刊 ›› 2003, Vol. 18 ›› Issue (3): 264-270.

凸度量空间中单值和集值映象的公共不动点定理

1．Department of Mathematics ,Shangqiu Teacher ’s College ,Shangqiu 476000,China；2．Shangqiu No．1 Middle School ,Shangqiu 476000,China

收稿日期:2002-05-28 出版日期:2003-09-30 发布日期:2024-04-09
作者简介:LIANG Jun-qi（1958－）,male ,native of Ningling ,Henan ,an associate professor of Shangqiu Teacher ’s College ,engages in theory of functions；ZHANG Zhi-hong（1964－）,male ,native of Shangqiu ,Henan ,a lecturer of Shangqiu Teacher s College ,engages in theory of functions .

Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete Convex Metric Spaces

Received:2002-05-28 Online:2003-09-30 Published:2024-04-09
About author:LIANG Jun-qi（1958－）,male ,native of Ningling ,Henan ,an associate professor of Shangqiu Teacher ’s College ,engages in theory of functions；ZHANG Zhi-hong（1964－）,male ,native of Shangqiu ,Henan ,a lecturer of Shangqiu Teacher s College ,engages in theory of functions .

摘要/Abstract

摘要： Under the conditions of compatility or sub-compatility between a sigle-valued mapping and set-valued mapping ,this paper discusses the existence of common fixed points for two set-valued map- pings and a single-valued mapping in complete ,convex matric spaces． We extend and develop the main results .

关键词: complete convex metric spaces, compatible mappings, sub-compatible mappings, common fixed point theorems

中图分类号:

O177．91

梁俊奇, 张志宏, 赵玲. 凸度量空间中单值和集值映象的公共不动点定理[J]. 数学季刊, 2003, 18(3): 264-270.

LIANG Jun-qi , ZHANG Zhi-hong , ZHAO Ling. Common Fixed Point Theorems of Single-valued and Set-valued Mappings in Complete Convex Metric Spaces [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(3): 264-270.