Affiliations: [a]
Department of Mathematics, Aligarh Muslim University, Aligarh, India
| [b]
Department of Mathematics, Taiz University, Taiz, Yemen
| [c]
Department of Mathematics, Integral University, Lucknow, India
| [d]
Department of Mathematics, Hajjah University, Hajjah, Yemen
Correspondence:
[*]
Corresponding author. Hayel N. Saleh, Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India. E-mail: nasrhayel@gmail.com.
Abstract: In this paper, we introduce a new class of fuzzy contractive mappings under the name of ‘
(FZ,F,φ)
-contractive mappings’ and utilize the same to prove fuzzy φ-fixed point results. Some illustrative examples are also given to support our results besides deriving several consequences. As an application, we prove an existence and uniqueness result on the solution of first order periodic differential equation. Interestingly, this newly introduced class unifies several known contractions such as: fuzzy contractive, fuzzy ψ-contractive, fuzzy
H
-contractive and fuzzy
FZ
-contractive mappings.
Keywords: Fixed point, φ-fixed point, FZ, F, φ-contractive mapping, fuzzy metric space
