Fixed point results for various contractions in parametric and fuzzy b-metric spaces

被引：36

作者：

Hussain, Nawab ^{[2
]}

Salimi, Peyman ^{[3
]}

Parvaneh, Vahid ^{[1
,4
]}

机构：

[1] Islamic Azad Univ, Dept Math, Gilan E Gharb Branch, Gilan E Gharb, Iran

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Islamic Azad Univ, Rasht Branch, Young Researchers & Elite Club, Rasht, Iran

[4] Islamic Azad Univ, Dept Math, Gilan E Gharb Branch, Gilan E Gharb, Iran

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 05期

关键词：

Fixed point theorem; fuzzy b-metric spaces; contractions; THEOREMS; MAPPINGS;

D O I：

10.22436/jnsa.008.05.24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notion of parametric metric spaces being a natural generalization of metric spaces was recently introduced and studied by Hussain et al. [A new approach to fixed point results in triangular intuitionistic fuzzy metric spaces, Abstract and Applied Analysis, Vol. 2014, Article ID 690139, 16 pp]. In this paper we introduce the concept of parametric b-metric space and investigate the existence of fixed points under various contractive conditions in such spaces. As applications, we derive some new fixed point results in triangular partially ordered fuzzy b-metric spaces. Moreover, some examples are provided here to illustrate the usability of the obtained results. (C) 2015 All rights reserved.

引用

页码：719 / 739

页数：21

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