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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