Soft fuzzy b-fixed points in complex-valued b-metric spaces with applications

Abstract

Numerous mathematical and practical issues can be resolved with the help of fixed point theory. Several fixed point results of the contraction type have been extended to various generalized metric spaces, such as intuitionistic fuzzy metric spaces, complex-valued metric spaces, and b-metric spaces. By combining the benefits of fuzzy metric spaces and soft set theory, this study attempts to establish novel fixed point theorems in the context of soft fuzzy b-metric spaces. The findings are used to solve fractional differential equations and expand a number of well-known contraction principles. The theoretical results are supported by a number of illustrative cases.