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

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.

Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications

“…Later after, [13] presented criteria for investigating coincidence points for intuitionistic fuzzy set-valued maps and employed their results to examine conditions for the existence of solutions to a system of integral equations. Of recent, [14,15] coined the idea of Fp results for two intuitionistic fuzzy set-valued maps using (T, N, α ⌣ )-cut set. Te well-celebrated Banach contraction has laid a solid foundation for the development of the metric fxed point theory.…”

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

“…This article has been retracted by Hindawi following an investigation undertaken by the publisher [1]. This investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process:…”