锥Banach空间中多个自映射的公共不动点定理  

Common fixed point of several self-mappings in cone Banach space

作　　者：张弘[1] 薛西锋[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《西北大学学报（自然科学版）》2016年第2期157-161,共5页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项目(2012JM1017)

摘　　要：研究在锥Banach空间中,多个弱相容的自映射在满足特定压缩条件下,通过构造迭代序列,并证明序列收敛性,得到此类算子具有唯一的公共不动点,丰富了压缩映像的不动点理论。The aim of this paper is to study several weakly compatible mappings in cone Banach space,satisfying some certain contractive conditions,with establishing iterative sequence and proving the sequence to converge.Several weakly compatible self-mappings have the unique common fixed point.The results extend the known achievements and make them have a rich application.

关 键 词：锥Banach空间 锥赋范空间 弱相容 公共不动点 叠合点 

分 类 号：O177.91[理学—数学]