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- Title
Intuitionistic Fuzzy Fixed Point Theorems in Complex-Valued b-Metric Spaces with Applications to Fractional Differential Equations.
- Authors
Tabassum, Rehana; Shagari, Mohammed Shehu; Azam, Akbar; Mohamed, OM Kalthum S. K.; Bakery, Awad A.
- Abstract
Among various efforts in advancing fuzzy mathematics, a lot of attentions have been paid to examine novel intuitionistic fuzzy analogues of the classical fixed point results. Along this direction, the idea of intuitionistic fuzzy mapping (IFM) is used in this paper to establish some fixed point (FP) results in complex-valued b -metric spaces. Moreover, from application perspective, one of our results is rendered to provide an existence condition for a solution of Caputo-type fractional differential equations. A few nontrivial illustrations are also furnished to authenticate and indicate the usability of the presented results.
- Subjects
FRACTIONAL differential equations; FUZZY mathematics; FUZZY sets; MATHEMATICAL mappings; FIXED point theory
- Publication
Journal of Function Spaces, 2022, p1
- ISSN
2314-8896
- Publication type
Article
- DOI
10.1155/2022/2261199