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Radenovic, Stojan
- 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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- Coincidence Point Results for Nonlinear Contraction in Ordered Partial Metric Spaces
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Authors
Affiliations
1 University of Belgrade, Kraljice Marije 16, 11 120 Beograd, RS
1 University of Belgrade, Kraljice Marije 16, 11 120 Beograd, RS
Source
The Journal of the Indian Mathematical Society, Vol 81, No 3-4 (2014), Pagination: 319-333Abstract
In this paper we extend coincidence point theorems obtained by W. Shatanawi et al. ([W. Shatanawi, Z. Mustafa and N. Tahat, Some coincidence point theorems for nonlinear contraction in ordered metric spaces, Fixed Point Theory and Appl. 2011, 2011:68.]) from the ordered metric space to ordered partial metric spaces. Using the new context, some coincidence point results of maps that satisfy the generalized (φ,ψ) - weak contractive conditions are obtained. Thus our results generalize, extend, unify, enrich and complement coincidence point theorems of contractive mappings in several aspect. Applications and examples are given to illustrate the usability of our results.Keywords
Common Fixed Point, Lower Semi-Continuous Function, Weak (φ, ψ) - Contraction, Ordered Partial Metric Space.References
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