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模糊度量空间中的循环广义(φ,Ψ)-弱压缩映射

吕英霞 纪培胜

青岛大学学报(自然科学版)2017,Vol.30Issue(4):5-9,5.
青岛大学学报(自然科学版)2017,Vol.30Issue(4):5-9,5.DOI:10.3969/j.issn.1006-1037.2017.11.02

模糊度量空间中的循环广义(φ,Ψ)-弱压缩映射

Cyclic Generalized (φ, Ψ)-weakly Contractive Mappings in Fuzzy Metric Space

吕英霞 1纪培胜1

作者信息

  • 1. 青岛大学数学与统计学院,青岛266071
  • 折叠

摘要

Abstract

In order to optimize the fixed point results of cyclic φ-weakly contractive mapping in fuzzy metric spaces,it presents the concept of cyclic generalized (φ,Ψ)-weakly contractive mappings in fuzzy metric spaces.It proves the fixed point theory of the cyclic generalized (φ,Ψ)-weakly contractive mappings in Gcomplete fuzzy metric spaces by using the method of constructing iterative sequence.And an example is given to illustrate the usefulness of the results.The result generalizes the fixed point theorem of cyclic φ-weakly contractive mapping in fuzzy metric spaces obtained by Gopal et al.

关键词

模糊度量空间/循环广义(φ,Ψ)-弱压缩映射/不动点定理

Key words

fuzzy metric space/cyclic generalized (φ,Ψ)-weakly contractive mapping/fixed point theorem

分类

数理科学

引用本文复制引用

吕英霞,纪培胜..模糊度量空间中的循环广义(φ,Ψ)-弱压缩映射[J].青岛大学学报(自然科学版),2017,30(4):5-9,5.

青岛大学学报(自然科学版)

1006-1037

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