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Chauhan, Sunny
- Impact of (CLRST) Property and Existence of Fixed Points Using Implicit Relations
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Authors
Affiliations
1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246 701, Uttar Pradesh, IN
2 University of Central Punjab, Lahore-54770, PK
3 Government Degree College, Champawat-262 523, Uttarakhand, IN
1 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246 701, Uttar Pradesh, IN
2 University of Central Punjab, Lahore-54770, PK
3 Government Degree College, Champawat-262 523, Uttarakhand, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 1-2 (2014), Pagination: 45-59Abstract
In this paper, we utilize the notion of "common limit range property" and prove common fixed point theorems for weakly compatible mappings in Menger spaces satisfying implicit relations. We give some examples to support the useability of our main results. Our results improve and generalize several previously known fixed point theorems in the existing literature.Keywords
T-Norm, Menger Space, Property (E.A), Common Property (E.A), (CLRS) Property, (CLRST) Property, Weakly Compatible Mappings.
- Coincidences and Common Fixed Points of Weakly Compatible Mappings in Menger Spaces
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Authors
Affiliations
1 Government Degree College, Champawat-262523, Uttarakhand, IN
2 Department of Mathematics, Lahore University of Management Sciences, Lahore-54792, PK
3 R. H. Government Postgraduate College, Kashipur-244713, Uttarakhand, IN
1 Government Degree College, Champawat-262523, Uttarakhand, IN
2 Department of Mathematics, Lahore University of Management Sciences, Lahore-54792, PK
3 R. H. Government Postgraduate College, Kashipur-244713, Uttarakhand, IN
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 127-139Abstract
In this paper, we prove common fixed point theorems for weakly compatible mappings in Menger spaces. An example is also given which demonstrates the validity of our result.Keywords
Triangle Norm, Menger Space, Weakly Compatible Mappings, Fixed Point.- Common Fixed Point Theorems for R-Weakly Commuting Mappings with Common Limit in the Range Property
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Authors
Affiliations
1 R. H. Government Postgraduate College, Kashipur-244 713, (U. S. Nagar), Uttarakhand, IN
2 Government Degree College, Champawa - 262 523, Uttarakhand, IN
3 University of Belgrade, Kraljice Marije 16, 11 120 Belograd, RS
1 R. H. Government Postgraduate College, Kashipur-244 713, (U. S. Nagar), Uttarakhand, IN
2 Government Degree College, Champawa - 262 523, Uttarakhand, IN
3 University of Belgrade, Kraljice Marije 16, 11 120 Belograd, RS
Source
The Journal of the Indian Mathematical Society, Vol 81, No 3-4 (2014), Pagination: 231-244Abstract
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
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- Common Fixed Point Theorems for Occasionally Weakly Compatible Mappings Using Implicit Relation
Abstract Views :175 |
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Authors
Sunny Chauhan
1,
B. D. Pant
2
Affiliations
1 Department of Mathematics, R. H. Government Postgraduate College, Kashipur, IN
2 Department of Mathematics, Government Degree College, Champawat, Uttarakhand, IN
1 Department of Mathematics, R. H. Government Postgraduate College, Kashipur, IN
2 Department of Mathematics, Government Degree College, Champawat, Uttarakhand, IN