Best proximity points of admissible almost generalized weakly contractive mappings with rational expressions on b-metric spaces
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Authors
Lakshmi Narayan Mishra
- Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University, Vellore 632 014, Tamil Nadu, India.
Vinita Dewangan
- Govt. S.N. College Nagari Distt.-Dhamtari, Chhattishgarh, India.
Vishnu Narayan Mishra
- Dept. of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India.
Seda Karateke
- Department of Mathematics and Computer Science, Faculty of Science and Letters, Istanbul Arel University, Istanbul-34537, Turkey.
Abstract
The aim of this paper is to introduce almost generalized proximal \((\alpha-\psi-\varphi-\theta)\)-weakly contractive mappings with rational expressions and prove the best proximity point theorems for such mappings. The main results of this
paper are generalizations of several comparable results in the literature.
Share and Cite
ISRP Style
Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra, Seda Karateke, Best proximity points of admissible almost generalized weakly contractive mappings with rational expressions on b-metric spaces, Journal of Mathematics and Computer Science, 22 (2021), no. 2, 97--109
AMA Style
Mishra Lakshmi Narayan, Dewangan Vinita, Mishra Vishnu Narayan, Karateke Seda, Best proximity points of admissible almost generalized weakly contractive mappings with rational expressions on b-metric spaces. J Math Comput SCI-JM. (2021); 22(2):97--109
Chicago/Turabian Style
Mishra, Lakshmi Narayan, Dewangan, Vinita, Mishra, Vishnu Narayan, Karateke, Seda. "Best proximity points of admissible almost generalized weakly contractive mappings with rational expressions on b-metric spaces." Journal of Mathematics and Computer Science, 22, no. 2 (2021): 97--109
Keywords
- Fixed point
- best proximity points
- metric space
- \(b\)-metric space
- admissible mapping
MSC
- 41A65
- 47H05
- 47H09
- 47H10
- 54H25
- 90C30
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