The Journal of the Indian Mathematical Society

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Common Fixed Point Theorems for R-Weakly Commuting Mappings with Common Limit in the Range Property


Affiliations
1 R. H. Government Postgraduate College, Kashipur-244 713, (U. S. Nagar), Uttarakhand, India
2 Government Degree College, Champawa - 262 523, Uttarakhand, India
3 University of Belgrade, Kraljice Marije 16, 11 120 Belograd, Serbia
     

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Using the notion of common limit in the range property, we prove common fixed point theorems for a pair of R-weakly commuting mappings of type (Ag) in modified intuitionistic fuzzy metric spaces satisfying implicit relations. We give an example which demonstrates the validity of the hypotheses and degree of generality of our main result. Our results improve and extend several previously known fixed point theorems of the existing literature.

Keywords

Modified Intuitionistic Fuzzy Metric Space, Property (E.A), Common Limit in the Range Property, Weakly Compatible Mappings, Implicit Relations, Fixed Point.
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  • Common Fixed Point Theorems for R-Weakly Commuting Mappings with Common Limit in the Range Property

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Authors

Sunny Chauhan
R. H. Government Postgraduate College, Kashipur-244 713, (U. S. Nagar), Uttarakhand, India
B. D. Pant
Government Degree College, Champawa - 262 523, Uttarakhand, India
Stojan Radenovic
University of Belgrade, Kraljice Marije 16, 11 120 Belograd, Serbia

Abstract


Using the notion of common limit in the range property, we prove common fixed point theorems for a pair of R-weakly commuting mappings of type (Ag) in modified intuitionistic fuzzy metric spaces satisfying implicit relations. We give an example which demonstrates the validity of the hypotheses and degree of generality of our main result. Our results improve and extend several previously known fixed point theorems of the existing literature.

Keywords


Modified Intuitionistic Fuzzy Metric Space, Property (E.A), Common Limit in the Range Property, Weakly Compatible Mappings, Implicit Relations, Fixed Point.

References