Common fixed point theorems in fuzzy metric‐like spaces employing common property (E.A.). (17th June 2019)

• Record Type: Journal Article
• Authors: Sumalai, Phumin; Kumam, Poom; Gopal, Dhananjay; Hasan, Mohd
• Other Names: Vigo-Aguiar Jesus guestEditor.; Kumam Poom guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 42:Number 17(2019)
• Page Start: 5834
• Page End: 5844
• Publication Date: 2019-06-17
• Subjects: compatible -- fuzzy metric space -- fuzzy metric‐like space -- noncompatible -- the common property (E.A.) -- the property (E.A.); Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.5704
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : The aim of this manuscript is to improve certain results established in a recent paper of Imdad et al on the existence of a common fixed point for contractive mappings in fuzzy metric spaces. Further, we generalize and extend some common fixed point theorems due to Ali and Imdad and some fixed point theorems due to Mihet to the case of fuzzy metric‐like spaces. We also furnish an illustrative example to demonstrate the validity of the hypotheses and degree of generality of our main result.