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Solving a nonlinear integral equation via orthogonal metric spaceopen access
- Authors
- Gnanaprakasam, AJ; Mani, G; Lee, JR; Park, C
- Issue Date
- Dec-2021
- Publisher
- AIMS Press
- Keywords
- Fixed point; Orthogonal complete metric space; Orthogonal continuous; Orthogonal preserving; Orthogonal set; Orthogonally triangular α-admissible
- Citation
- AIMS MATHEMATICS, v.7, no.1, pp 1198 - 1210
- Pages
- 13
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 7
- Number
- 1
- Start Page
- 1198
- End Page
- 1210
- ISSN
- 2473-6988
2473-6988
- Abstract
- We propose the concept of orthogonally triangular α-admissible mapping and demonstrate some fixed point theorems for self-mappings in orthogonal complete metric spaces. Some of the wellknown outcomes in the literature are generalized and expanded by our results. An instance to help our outcome is presented. We also explore applications of our key results. © 2022 the Author(s), licensee AIMS Press.
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