Fixed point theorems for R- weakly commutating mappings of type (Ag) in intuitionistic fuzzy metric space satisfying integral type inequality

Akhilesh Jain; R.S. Chandel; Hasan Abbas; Uday Dolas

doi:https://doi.org/10.14445/22315373/IJMTT-V49P529

International Journal of Mathematics Trends and Technology

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Volume 49 | Number 3 | Year 2017 | Article Id. IJMTT-V49P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P529

Fixed point theorems for R- weakly commutating mappings of type (Ag) in intuitionistic fuzzy metric space satisfying integral type inequality

Akhilesh Jain, R.S. Chandel, Hasan Abbas, Uday Dolas

Abstract

The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [12], we define the notion of intuitionistic fuzzy metric spaces due to Kramosil and Michalek [16] and Jungck’s common fixed point theorem [7] is generalized to intuitionistic fuzzy metric spaces. Further, we prove the common fixed point theorem in Intuitionistic Fuzzy Metric Space using the property (S-B) , by using the notion of R-weakly commuting mappings of type (Ag) satisfying integral type inequality.

Keywords

Compatible maps, Fuzzy metric spaces, intuitionistic fuzzy metric space, Compatible maps of type (Ag), implicit relation.

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Citation :

Akhilesh Jain, R.S. Chandel, Hasan Abbas, Uday Dolas, "Fixed point theorems for R- weakly commutating mappings of type (Ag) in intuitionistic fuzzy metric space satisfying integral type inequality," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 3, pp. 200-204, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P529