偏序集上非自映射的最佳逼近点定理
Best Proximity Point Theorems for Generalized Contractive Non-Self Mapping on Partially Ordered Sets
陈丽君1
作者信息
- 1. 福建农林大学金山学院,福州福建 350002
- 折叠
摘要
给出广义收缩非自映射的概念,证明了该非自映射在偏序集上的最佳逼近点定理,并举例支持本文的研究结果.所得结果推广了相关文献的结论,尤其无偏序关系的距离空间中非自映射的最佳逼近点定理是本文结论的一个特殊情况.
Abstract
In this paper,a non-self mapping which is a generalized contraction,is firstly introduced,and then the best proximity point theorem for the non-self generalized contraction is proved.Moreover,some examples are also given to support our main results.The re-sults obtained in the paper extend the conclusions of the relevant literature,and the best proximity point theorems for non-self mappings on metric space without any partial order are special cases of our researches.
关键词
最佳逼近点/广义压缩/收敛性/偏序集Key words
best proximity point/generalized contraction/convergence/partially ordered sets引用本文复制引用
基金项目
福建省中青年教师教育科研项目(JT180838)
福建农林大学金山学院青年教师科研基金项目(kx230301)
出版年
2024
NETL
NSTL
万方数据