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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半序Menger PM-空间中广义弱压缩映射的最佳逼近点定理吴照奇¹, 朱传喜¹, 袁成桂²1. 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 SA2 8PP Best Proximity Point Theorems for Generalized Weak Contractive Mappings in Partially Ordered Menger PM-spaces Zhao Qi WU¹, Chuan Xi ZHU¹, Cheng Gui YUAN²1. Department of Mathematics, College of Science, Nanchang University, Nanchang 330031, P. R. China;
2. Department of Mathematics, Swansea University, Singleton Park, SA2 8PP, UK

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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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收稿日期: 2019-11-01

MR (2010):

O177.2

基金资助: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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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, 64(2): 177-188. Zhao Qi WU, Chuan Xi ZHU, Cheng Gui YUAN. Best Proximity Point Theorems for Generalized Weak Contractive Mappings in Partially Ordered Menger PM-spaces. Acta Mathematica Sinica, Chinese Series, 2021, 64(2): 177-188.

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