Nadler’s fixed point theorem in ν-generalized metric spaces

被引：0

作者：

Suzuki T. ^{[1
]}

机构：

[1] Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Tobata, Kitakyushu

来源：

Fixed Point Theory and Applications | / 2017卷 / 1期

基金：

日本学术振兴会;

关键词：

Caristi’s fixed point theorem; completeness; Nadler’s fixed point theorem; Subrahmanyam’s fixed point theorem; ν-generalized metric space;

D O I：

10.1186/s13663-017-0611-2

中图分类号：

学科分类号：

摘要：

We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space. In particular, we study the completeness of the space. We also improve Caristi’s and Subrahmanyam’s fixed point theorems in the space. © 2017, The Author(s).

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