Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space
Joint Authors
Zhou, Mi
Liu, Xiao-Lan
Secelean, Nicolae Adrian
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
In this paper, first, we introduce a new type of S∗−fuzzy metric space which is a generalization of fuzzy metric spaces.
Second, we study the topological properties of S∗−fuzzy metric spaces.
Finally, we extend Kannan-type mappings to generalized Kannan-type mappings under ϕ−gauge functions introduced by Fang in S∗−fuzzy metric spaces and prove the existence and uniqueness of fixed point for this kind of mappings.
Furthermore, we also obtain the common fixed point theorems for weak compatibility along with E.A.
property or CLRg property.
Our results extend and improve very recent theorems in the related literature.
American Psychological Association (APA)
Zhou, Mi& Liu, Xiao-Lan& Secelean, Nicolae Adrian. 2020. Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1187995
Modern Language Association (MLA)
Zhou, Mi…[et al.]. Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space. Journal of Mathematics No. 2020 (2020), pp.1-16.
https://search.emarefa.net/detail/BIM-1187995
American Medical Association (AMA)
Zhou, Mi& Liu, Xiao-Lan& Secelean, Nicolae Adrian. Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-16.
https://search.emarefa.net/detail/BIM-1187995
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1187995
