A Revised Fuzzy Differential Equations Using Weakly Compatible Self-Mappings in Revised Fuzzy Metric Spaces
In this paper, we demonstrated certain coincidence point and Common Fixed Point [briefly, CFP] findings under the rational type weakly compatible revised fuzzy-contraction conditions in full Revised Fuzzy Metric spaces [briefly, RFMSs] utilizing the "triangular property of revised fuzzy metric" with examples in this work. We also provided Revised fuzzy differential equations [briefly, RFDEs] as an application and demonstrated that the solution of the RFDEs has a unique CFP of the integral operators and . This new path of weakly-compatible Revised fuzzy-contraction with the use of RFDEs in RFM space will be crucial. With different sorts of weakly-compatible Revised fuzzy contraction conditions for self-mappings and different forms of differential equations in the context of RFMSs, this approach may be expanded and developed in diverse directions.
Authors
- R. Thangathamizh (ORCID: https://orcid.org/0000-0002-2449-5103)
Publication Details
- Journal
- Advances in Nonlinear Variational Inequalities
- Published
- 2024-08-23
- DOI
- https://doi.org/10.52783/anvi.v27.544
- Citations
- 2
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 2.02