Some new fixed point results on intuitionistic fuzzy metric spaces

Fuzzy set theory originated from the fact that reasoning is not crisp and admits degree. This theory plays a leading role in ample field of Science and Technology. In this paper, by utilizing the concept of E.A. and common (E.A) property, we prove new common fixed point theorems on intuitionistic fu...

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Bibliographic Details
Published inCogent mathematics Vol. 3; no. 1; p. 1142839
Main Authors Gupta, Vishal, Kanwar, Ashima
Format Journal Article
LanguageEnglish
Published Abingdon Cogent 31.12.2016
Taylor & Francis Ltd
Subjects
common property (E.A.)
complete subspace
E.A. property
fixed point
Fixed points (mathematics)
Fuzzy logic
fuzzy set
Fuzzy set theory
Fuzzy sets
intuitionistic fuzzy metric spaces
Metric space
weakly compatible mapping
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Summary:Fuzzy set theory originated from the fact that reasoning is not crisp and admits degree. This theory plays a leading role in ample field of Science and Technology. In this paper, by utilizing the concept of E.A. and common (E.A) property, we prove new common fixed point theorems on intuitionistic fuzzy metric spaces. Moreover, we extend the main result for finite number of mappings and integral-type contractive condition on intuitionistic fuzzy metric spaces.
ISSN:2331-1835
2331-1835
2768-4830
DOI:10.1080/23311835.2016.1142839