Intuitionistic Fuzzy Fixed Point Theorems in Complex-Valued b-Metric Spaces with Applications to Fractional Differential Equations

• Published in: Journal of function spaces Vol. 2022; pp. 1 - 17
• Main Authors: Tabassum, Rehana, Shagari, Mohammed Shehu, Azam, Akbar, Mohamed, OM Kalthum S. K., Bakery, Awad A.
• Format: Journal Article
• Language: English
• Published: New York Hindawi 2022; Hindawi Limited
• Subjects: Differential equations; Fixed points (mathematics); Fractional calculus; Fuzzy sets; Mathematical analysis; Metric space
• ISSN: 2314-8896; 2314-8888
• DOI: 10.1155/2022/2261199

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.