Saurabh Manro; Sanjay Kumar; S. S. Bhatia

Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces Using Concept of Occasionally Weakly Compatible Self Mappings

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Author(s)

Saurabh Manro ^1,* Sanjay Kumar ² S. S. Bhatia ¹

1. School of Mathematics and Computer Applications, Thapar University, Patiala (Punjab)

2. Deenbandhu Chhotu Ram University of Science and Technology, Murthal (Sonepat)

* Corresponding author.

DOI: https://doi.org/10.5815/ijmecs.2012.08.03

Received: 25 Apr. 2012 / Revised: 5 Jun. 2012 / Accepted: 1 Jul. 2012 / Published: 8 Aug. 2012

Index Terms

Occasionally weakly compatible maps, Weakly compatible maps, Intuitionistic fuzzy metric space, Common fixed point

Abstract

The purpose of this paper is to prove new common fixed point theorem in Intuitionistic fuzzy metric space. While proving our result, we utilize the idea of occasionally weakly compatible maps due to Al-Thagafi and N. Shahzad. Our result substantially generalize and improve a multitude of relevant common fixed point theorems of the existing literature in fuzzy metric and Intuitionistic fuzzy metric space.

Cite This Paper

Saurabh Manro, Sanjay Kumar, S. S. Bhatia, "Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces Using Concept of Occasionally Weakly Compatible Self Mappings", International Journal of Modern Education and Computer Science(IJMECS), vol.4, no.8, pp.19-25, 2012. DOI:10.5815/ijmecs.2012.08.03

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International Journal of Modern Education and Computer Science (IJMECS)