A novel framework of complex valued fuzzy metric spaces and fixed point theorems

被引：6

作者：

Singh, Deepak ^{[1
]}

Joshi, Vishal ^{[2
]}

Imdad, Mohammad ^{[3
]}

Kumam, Poom ^{[4
,5
,6
]}

机构：

[1] Govt India, Dept Appl Sci, NITTTR, Minist HRD, Bhopal, MP, India

[2] Jabalpur Engn Coll, Dept Appl Math, Jabalpur, MP, India

[3] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

[4] King Mongkuts Univ Technol Thonburi, Theoret & Computat Sci Ctr TaCS, Fac Sci, Bangkok, Thailand

[5] King Mongkuts Univ Technol Thonburi, Dept Math, Fac Sci, Bangkok, Thailand

[6] China Med Univ, Taichung, Taiwan

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 06期

关键词：

Complex fuzzy set; complex valued fuzzy metric spaces; cauchy sequence; complex valued complete fuzzy metric spaces; fixed point theorem; rational expression; PART II; NUMBERS; SETS;

D O I：

10.3233/IFS-152065

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this article, recognizing the innovative concept of complex valued fuzzy set due to Ramot et al. [1], we introduce the notion of complex valued fuzzy metric spaces. Several allied topological aspects for complex valued fuzzy metric spaces are also defined which fortify the concept. Moreover the complex valued fuzzy version of some celebrated and essential results from metric spaces including Banach contraction principle and the main theorem of Jungck [2] are established. Additionally some fixed point theorems satisfying certain rational expressions are proved.

引用

页码：3227 / 3238

页数：12

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