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

作　　者：陈丽君[1] CHEN Lijun(Jinshan College,Fujian Agriculture and Forest University,Fuzhou 350002,China)

机构地区：[1]福建农林大学金山学院,福州福建350002

出　　处：《长春师范大学学报》2024年第6期1-4,共4页Journal of Changchun Normal University

基　　金：福建省中青年教师教育科研项目“关于非自映像的最佳逼近点存在性与唯一性定理”(JT180838);福建农林大学金山学院青年教师科研基金项目“分裂可行问题与分裂均衡问题的收敛性”(kx230301)。

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.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 results 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 

分 类 号：O177[理学—数学]