半序Menger PM-空间中广义弱压缩映射的最佳逼近点定理  

Best Proximity Point Theorems for Generalized Weak Contractive Mappings in Partially Ordered Menger PM-spaces

作　　者：吴照奇[1] 朱传喜[1] 袁成桂 Zhao Qi WU;Chuan Xi ZHU;Cheng Gui YUAN(Department of Mathematics,College of Science,Nanchang University,Nanchang 330031,P.R.China;Department of Mathematics,Swansea University,Singleton Park,SA28PP,UK)

机构地区：[1]南昌大学理学院数学系,南昌330031 [2]英国斯旺西大学数学系,斯旺西SA28PP

出　　处：《数学学报（中文版）》2021年第2期177-188,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11701259,11461045,11771198,11361042);江西省自然科学基金资助项目(20202BAB201001)。

摘　　要：本文利用三个控制函数给出了半序Menger PM-空间中满足特定条件的广义弱压缩映射的最佳逼近点定理,并给出了最佳逼近点唯一的充分条件.进一步地,还给出了主要结果的一些推论.In this paper,some best proximity point theorems for generalized weakly contractive mappings which satisfy certain conditions by using three control functions in partially ordered Menger PM-spaces are obtained,and sufficient conditions to guarantee the uniqueness of the best proximity points are also given.Moreover,some corollaries are derived as consequences of the main results.

关 键 词：Menger PM-空间 半序 广义弱压缩映射 最佳逼近点 

分 类 号：O177.2[理学—数学]