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Issue:Common fixed point theorems for weakly commuting of type (J) in generalized intuitionistic fuzzy metric spaces

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Title of paper: Common fixed point theorems for weakly commuting of type (J) in generalized intuitionistic fuzzy metric spaces
Author(s):
M. Jeyaraman
PG and Research Department of Mathematics, Raja Dorai Singam Govt. Arts College, Sivagangai-630561, India
jeya.math@gmail.com
D. Poovaragavan
Department of Mathematics, Govt. Arts College for Women, Sivagangai-630561, India
poovaragavan87@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 3, pages 26–41
DOI: 10.7546/nifs.2019.25.3.26-41
Download:  PDF (185  Kb, Info)
Abstract: This paper focuses on the existence of a fixed point in generalized intuitionistic fuzzy metric spaces. The presentation of generalized intuitionistic fuzzy metric spaces in n-tuple encourages us to define different mappings in the symmetric generalized intuitionistic fuzzy metric spaces. Notation for pair of mappings (f, g) on generalized intuitionistic fuzzy metric spaces called weakly commuting of type (J) and R-weakly commuting of type (J) is introduced. We prove common fixed point theorems in generalized intuitionistic fuzzy metric spaces employing the effectiveness of property (E.A.) and CLRg property.
Keywords: Common fixed point, V-fuzzy metric spaces, Generalized intuitionistic fuzzy metric spaces.
AMS Classification: Primary 47H10; Secondary 54H25.
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