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.
作者
吴照奇
朱传喜
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)
出处
《数学学报（中文版）》
CSCD
北大核心
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)。
