Some fixed point results for xi-chainable neutrosophic and generalized neutrosophic cone metric spaces with applicationopen access
- Authors
- Riaz, Muhammad; Ishtiaq, Umar; Park, Choonkil; Ahmad, Khaleel; Uddin, Fahim
- Issue Date
- Jun-2022
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- cone metric space; intuitionistic generalized fuzzy cone metric space; generalized neutrosophic metric spaces; xi-chainable neutrosophic metric space; fixed point
- Citation
- AIMS MATHEMATICS, v.7, no.8, pp.14756 - 14784
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 7
- Number
- 8
- Start Page
- 14756
- End Page
- 14784
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/138352
- DOI
- 10.3934/math.2022811
- Abstract
- This manuscript is concerned for introducing novel concepts of xi-chainable neutrosophic metric space and generalized neutrosophic cone metric spaces. We use four self-mappings to establish common fixed point theorem in the sense of xi-chainable neutrosophic metric space and three self-mappings to establish common fixed point results in the sense of generalized neutrosophic metric spaces. Certain properties of xi-chainable neutrosophic metric space and generalized neutrosophic metric spaces are defined and their examples are presented. An application to fuzzy Fredholm integral equation of second kind is developed to verify the validity of proposed results. These results boost the approaches of existing literature of fuzzy metric spaces and fuzzy fixed theory.
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