福州大学学报（自然科学版）2011，Vol.39Issue(1)：1-4,4.DOI:CNKI:35-1117/N.20110121.1722.002
2-Banach空间上不动点定理的一个推广
A generalization of fixed point theorem in 2 -Banach space
摘要
Abstract
The definition and the relative concepts of a 2 -linear norm are introduced on a linear space and the definition of a class Φ of 5 - dimensional functions on R 5+ is given. A convergent sequence { xn } on a 2 - Banach space is constructed by an involution map T satisfying a class Φ of 5 dimensional functions on R 5+, and then the limit of the sequence { xn } being the fixed point of T is proved. The main result generalizes and improves the corresponding result obtained by M S Hhan and M D Hkan.关键词
Banach空间/类Φ/柯西序列/对合映射/不动点Key words
Banach space/ class Φ/ Cauchy sequence/ involution map/ fixed point分类
数理科学引用本文复制引用
朴勇杰,沈京虎..2-Banach空间上不动点定理的一个推广[J].福州大学学报（自然科学版）,2011,39(1):1-4,4.基金项目
国家自然科学基金资助项目(10361005) （10361005）
