Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces

Volume 7, Issue 1, pp 28--41 http://dx.doi.org/10.22436/jnsa.007.01.04

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Authors

Sunny Chauhan - Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, Uttar Pradesh, India. Wasfi Shatanawi - Department of Mathematics, Hashemite University, Zarqa, Jordan. Suneel Kumar - Government Higher Secondary School, Sanyasiowala PO-Japsur, 244712, Uttarakhand, India. Stojan Radenović - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia.

Abstract

In this paper, utilizing the concept of common limit range property, we prove integral type common fixed point theorems for two pairs of weakly compatible mappings satisfying \(\phi\)-contractive conditions in modified intuitionistic fuzzy metric spaces. We give some examples to support the useability of our results. We extend our results to four finite families of self mappings by using the notion of pairwise commuting.

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Keywords

• Modified intuitionistic fuzzy metric space
• weakly compatible mappings
• common limit range property
• fixed point.

MSC

•  47H10
•  54H25

References

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