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Manro, Saurabh
- 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
1,
Anita Tomar
2
Affiliations
1 School of Mathematics and Computer Applications, Thapar University, Patiala, IN
2 V.S.K.C. Government Degree College, Dakpathar, Dehradun, IN
1 School of Mathematics and Computer Applications, Thapar University, Patiala, IN
2 V.S.K.C. Government Degree College, Dakpathar, Dehradun, IN
Source
The Journal of the Indian Mathematical Society, Vol 82, No 1-2 (2015), Pagination: 79-95Abstract
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.
- Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Common (E.A) Like Property in Intuitionistic Fuzzy Metric Spaces using Implicit Relation
Abstract Views :170 |
PDF Views:0
Authors
Affiliations
1 School of Mathematics and Computer Applications, Thapar University, Patiala-147004, IN
2 Deenbandhu Chhotu Ram University of Science and Technology Murthal (Sonepat), IN
1 School of Mathematics and Computer Applications, Thapar University, Patiala-147004, IN
2 Deenbandhu Chhotu Ram University of Science and Technology Murthal (Sonepat), IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 1-2 (2014), Pagination: 123-133Abstract
In this paper, employing the common (E.A) like property,we prove a common fixed theorem for weakly compatible mappings via an implicit relation in intuitionistic fuzzy metric space.Keywords
Intuitionistic Fuzzy Metric Space, Weakly Compatible Mappings, Common (E.A) Like Property, Implicit Relation.- A Critical Remark - Some Fixed Point Results Using Property (E.A.)
Abstract Views :206 |
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Authors
Affiliations
1 School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, IN
1 School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 1-2 (2021), Pagination: 146–154Abstract
The aim of this note is to point out some mistakes in some recent xed point results using property (E.A.). Also, we rectify these mistakes and improve the results.Keywords
Fixed point, weakly compatible maps, property (E.A.), common property (E.A.).References
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