Geodesic
Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces
Chauhan, Sunny1 ; Shatanawi, Wasfi2 ; Kumar, Suneel3 ; Radenović, Stojan4
1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, Uttar Pradesh, India
2 Department of Mathematics, Hashemite University, Zarqa, Jordan
3 Government Higher Secondary School, Sanyasiowala PO-Japsur, 244712, Uttarakhand, India
4 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia
Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 28-41.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.007.01.04
Classification : 47H10, 54H25
Keywords: Modified intuitionistic fuzzy metric space, weakly compatible mappings, common limit range property, fixed point.

Chauhan, Sunny 1 ; Shatanawi, Wasfi 2 ; Kumar, Suneel 3 ; Radenović, Stojan 4

1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, Uttar Pradesh, India
2 Department of Mathematics, Hashemite University, Zarqa, Jordan
3 Government Higher Secondary School, Sanyasiowala PO-Japsur, 244712, Uttarakhand, India
4 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia 
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Chauhan, Sunny; Shatanawi, Wasfi; Kumar, Suneel; Radenović, Stojan. Existence and uniqueness of fixed points in modified intuitionistic fuzzy metric spaces. Journal of nonlinear sciences and its applications, Tome 7 (2014) no. 1, p. 28-41. doi : 10.22436/jnsa.007.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.007.01.04/

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