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广义近端ψ压缩非自映射的最佳逼近点定理

陈丽君

宁夏大学学报(自然科学版)2017,Vol.38Issue(4):322-325,4.
宁夏大学学报(自然科学版)2017,Vol.38Issue(4):322-325,4.

广义近端ψ压缩非自映射的最佳逼近点定理

Best Proximity Point Theorems for Generalized Proximal ψ-contractive Non-self Mapping

陈丽君1

作者信息

  • 1. 福建农林大学金山学院,福州福建350002
  • 折叠

摘要

Abstract

The concept of generalized proximal ψ-contraction non-self mapping is introduced in this paper,and best proximity point theorem for the generalized proximal contraction is given.Moreover,an algorithm is exhibited to determine such an optimal approximate solution.An example is also given to support the main results.The results obtained in the paper generalize the conclusions of the relevant literature.The best proximity point theorem of self-mapping is a special case of the conclusion of this paper.

关键词

最佳逼近点/广义近端φ压缩/近端压缩

Key words

best proximity point/generalized proximal ψ-contraction/proximal contraction

分类

数理科学

引用本文复制引用

陈丽君..广义近端ψ压缩非自映射的最佳逼近点定理[J].宁夏大学学报(自然科学版),2017,38(4):322-325,4.

基金项目

福建省自然科学基金资助项目(2014J01008) (2014J01008)

福建省中青年教师教育科研项目(JA14365) (JA14365)

宁夏大学学报(自然科学版)

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