Some fixed point theorems in 1-M-complete fuzzy metric-like spaces. Issue 7 (16th November 2016)

• Record Type: Journal Article
• Authors: Shukla, Satish; Gopal, Dhananjay; Roldán-López-de-Hierro, Antonio-Francisco
• Is Part Of: International journal of general systems. Volume 45:Issue 7/8(2016)
• Page Start: 815
• Page End: 829
• Publication Date: 2016-11-16
• Subjects: 1-M-complete fuzzy metric-like spaces -- 1-M-Cauchy sequence -- B-contraction -- fixed point; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2016.1153084
• Languages: English
• ISSNs: 0308-1079

Abstract

Abstract : Very recently, in order to unify the notions of fuzzy metric space and metric-like space, Shukla and Abbas introduced the concept of fuzzy metric-like space and proved some fixed-point results in this setting. In this article, we modify the notion of Cauchy sequence and completeness to generalize their results. Thus, we extend their theorems to a more general framework, which is also appropriate to generalize some recent, well-known results in this line of research. Furthermore, several examples are presented to illustrate the significance of our results.