关于度量空间中改变距离的函数和的不动点定理
Some fixed point theorems about the sum of functions in metric spaces by altering distances
李斌 1肖海强 1常大磊1
作者信息
- 1. 石河子大学理学院,新疆 石河子 832000
- 折叠
摘要
不动点理论在研究方程解的存在性、唯一性及具体计算都有重要的理论与实用价值.本文基于巴拿赫度量空间中压缩映射原理通过两点之间距离的改变,借助于单调函数自映射原理在已有的结论基础上推广了度量空间上自映射的 Pathak、Rekha Sharam、Khan、和 Sastry and Babu 函数和的一些不动点定理,并得出函数和唯一不动点定理.
Abstract
Fixed point theory has important theoretical and practical value in studying the existence,uniqueness,and specific calcula-tions of equation solutions.Based on the principle of contractive mapping in Banach metric space,this paper extends some fixed point theorems of Pathak and Rekha Sharam,Khan,and Sastry and Babu function sums of self-mapping in metric space by changing the dis-tance between two points and by virtue of the principle of monotone function self-mapping on the basis of the existing conclusions,and obtains function and unique fixed point theorems.
关键词
不动点/距离变化/函数和Key words
fixed point/alteration of distances/the sum of functions引用本文复制引用
出版年
2024
NETL
NSTL
万方数据