Fixed Point Theorems in Intuitionistics Fuzzy Metric Spaces Using Implicit Relations - Applied Mathematics

AM > Vol.7 No.6, March 2016

Fixed Point Theorems in Intuitionistics Fuzzy Metric Spaces Using Implicit Relations ()

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DOI: 10.4236/am.2016.76052 2,821 Downloads 4,428 Views Citations

Author(s)

Arun Garg^1*, Zaheer K. Ansari², Pawan Kumar³

Affiliation(s)

¹Department of Mathematics, NIMS University, Jaipur, India.
²Department of Applied Mathematics, JSS Academy of Technical Education, Noida, India.
³Department of Mathematics, Maitreyi College (University of Delhi), New Delhi, India.

ABSTRACT

In this paper, we proved some fixed point theorems in intuitionistic fuzzy metric spaces applying the properties of weakly compatible mapping and satisfying the concept of implicit relations for t norms and t connorms.

KEYWORDS

Intuitionistic Fuzzy Metric Spaces, Weakly Compatible Mapping Implicit Relations for t Norms and t Connorms

Share and Cite:

Garg, A. , Ansari, Z. and Kumar, P. (2016) Fixed Point Theorems in Intuitionistics Fuzzy Metric Spaces Using Implicit Relations. Applied Mathematics, 7, 569-577. doi: 10.4236/am.2016.76052.

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