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Orthogonal F-contractions on O-complete b-metric spaceopen access
- Authors
- Mani, G.; Gnanaprakasam, A.J.; Park, C.; Yun, S.
- Issue Date
- 2021
- Publisher
- American Institute of Mathematical Sciences
- Keywords
- orthogonal set; orthogonal b-metric space; orthogonal continuous; orthogonal preserving; orthogonal F-contraction; fixed point
- Citation
- AIMS Mathematics, v.6, no.8, pp.8315 - 8330
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS Mathematics
- Volume
- 6
- Number
- 8
- Start Page
- 8315
- End Page
- 8330
- ISSN
- 2473-6988
- Abstract
- In this paper, we introduce the concepts of an orthogonal F-contractive type mapping, an orthogonal Kannan F-contractive type mapping and an orthogonal F-expanding type mapping. We prove some fixed point theorems for these mappings in orthogonal complete b-metric spaces. The obtained results generalize and extend some of the well known results in the literature. An example is presented to support our results.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)