| 半序Menger PM-空间中广义弱压缩映射的最佳逼近点定理 |
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| 引用本文： | 吴照奇,朱传喜,袁成桂.半序Menger PM-空间中广义弱压缩映射的最佳逼近点定理[J].数学学报,2021(2):177-188. |
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| 作者姓名： | 吴照奇 朱传喜 袁成桂 |
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| 作者单位： | 南昌大学理学院数学系;英国斯旺西大学数学系 |
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| 基金项目： | 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)。 |
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| 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.
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| 关 键 词： | Menger PM-空间 半序 广义弱压缩映射 最佳逼近点 |
Best Proximity Point Theorems for Generalized Weak Contractive Mappings in Partially Ordered Menger PM-spaces |
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| Zhao Qi WU,Chuan Xi ZHU,Cheng Gui YUAN.Best Proximity Point Theorems for Generalized Weak Contractive Mappings in Partially Ordered Menger PM-spaces[J].Acta Mathematica Sinica,2021(2):177-188. |
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| Authors: | Zhao Qi WU Chuan Xi ZHU Cheng Gui YUAN |
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| Institution: | (Department of Mathematics,College of Science,Nanchang University,Nanchang 330031,P.R.China;Department of Mathematics,Swansea University,Singleton Park,SA28PP,UK) |
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| Abstract: | 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. |
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| Keywords: | Menger PM-space partial order generalized weak contractive mapping best proximity point |
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