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Common Fixed Point Theorems for R-weakly Commuting Maps Satisfying Common Property (E.A.) in Intuitionistic Fuzzy Metric Spaces Using Implicit Relation


Affiliations
1 School of Mathematics and Computer Applications, Thapar University, Patiala, India
2 V.S.K.C. Government Degree College, Dakpathar, Dehradun, India
     

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The aim of this paper is to extend and generalize the theory of fixed point to theory of intuitionistic fuzzy fixed point. We prove common fixed point theorems for R-weakly commuting maps employing common property (E.A) in intuitionistic fuzzy metric space via implicit relations which are viable, productive and powerful tool in finding the existence of common fixed point. Our results unify and generalize various known results to more general class of noncompatible maps.

Keywords

Intuitionistic Fuzzy Metric Space, R-Weakly Commuting Maps, Property (E.A.), Common Property (E.A.), Implicit Relation.
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  • Common Fixed Point Theorems for R-weakly Commuting Maps Satisfying Common Property (E.A.) in Intuitionistic Fuzzy Metric Spaces Using Implicit Relation

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Authors

Saurabh Manro
School of Mathematics and Computer Applications, Thapar University, Patiala, India
Anita Tomar
V.S.K.C. Government Degree College, Dakpathar, Dehradun, India

Abstract


The aim of this paper is to extend and generalize the theory of fixed point to theory of intuitionistic fuzzy fixed point. We prove common fixed point theorems for R-weakly commuting maps employing common property (E.A) in intuitionistic fuzzy metric space via implicit relations which are viable, productive and powerful tool in finding the existence of common fixed point. Our results unify and generalize various known results to more general class of noncompatible maps.

Keywords


Intuitionistic Fuzzy Metric Space, R-Weakly Commuting Maps, Property (E.A.), Common Property (E.A.), Implicit Relation.