Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Varsha Pathak; Shilpa Rahurikar; Satish Shukla
- Contact information
- Varsha Pathak: Department of Mathematics Shri Vaishnav Institute of Science Shri Vaishnav Vidyapeeth Vishwavidyalaya (Gram Baroli, Sanwer Road, Indore (M.P.) 453331, India); OCRID: 0000-0003-0060-2821; Shilpa Rahurikar: Department of Mathematics Shri Vaishnav Institute of Science Shri Vaishnav Vidyapeeth Vishwavidyalaya (Gram Baroli, Sanwer Road, Indore (M.P.) 453331, India); OCRID: 0009-0000-2702-5572; Satish Shukla: Department of Mathematics Shri Vaishnav Institute of Science Shri Vaishnav Vidyapeeth Vishwavidyalaya (Gram Baroli, Sanwer Road, Indore (M.P.) 453331, India); OCRID: 0000-0002-5158-3504
- Keywords
- contractions; complete metric spaces; best proximity point; binary relation
- Abstract
In this paper, we introduce relation-theoretic generalised Berinde-type contractions in the setting of metric spaces and prove some best proximity point results for such mappings on metric spaces. Our results generalize the results of Cho [7] in the metric spaces endowed with an arbitrary binary relation. An example is presented that justifies our generalization
- Pages
- 783–794
- EDN
- NZOSCJ
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/160131
Journal of Siberian Federal University. Mathematics & Physics / Best Proximity Point Results for Relation-theoretic Generalised Berinde-type Contractions in Complete Metric Spaces
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