模糊距离空间中的循环φ-压缩映射的不动点定理

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英文篇名：Fixed Point Theorems for Cyclic φ-contractive Mappings in Fuzzy Metric Spaces 作者：路宁 ; 贺飞 ; 樊菁菁 英文作者：LU Ning;HE Fei;FAN Jing-jing;School of Mathematical Sciences, Inner Mongolia University; 关键词：模糊距离空间 ; 循环φ-压缩 ; Boyd-Wong型不动点定理 ; Alber-GuerreDelabriere型不动点定理 ; Geraghty型不动点定理 英文关键词：fuzzy metric space;;cyclic φ-contractions;;Boyd-Wong's type fixed point theorem;;alber-guerre delabriere's type fixed point theorem;;geraghty's type fixed point theorem 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：内蒙古大学数学科学学院; 出版日期：2018-11-23 出版单位：数学的实践与认识 年：2018 期：v.48 基金：国家自然科学基金(11561049,11471236) 语种：中文; 页：SSJS201822029 页数：12 CN：22 ISSN：11-2018/O1 分类号：240-251

摘要

在模糊距离空间中建立了两类Boyd-Wong型非线性循环φ-压缩映射的不动点定理,这些结果是前人结果的改进和补充,此外,还得到了Alber-Guerre Delabriere型和Geraghty型的非线性循环φ-压缩映射的不动点定理.最后给出两个例子支持我们的结果.
        In fuzzy metric spaces, two classes of fixed point theorems for Boyd-Wong's type nonlinear cyclic φ-contractive mappings are established. They are some improvements and supplements of the previous results. In addition, fixed point theorems for Alber-Guerre Delabriere's type and Geraghty's type nonlinear cyclic φ-contractive mappings are also obtained. Some examples are given to support our results.

引文

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