Nonlinear integral and rational fuzzy F-contractions in complete fuzzy metric spaces
Keywords:
Fuzzy metric space; Wardowski F-contraction; Fixed point.Abstract
This work develops several classes of nonlinear fuzzy F-contractive operators in complete fuzzy metric spaces. The proposed framework incorporates integral, rational, minimum-based, and hybrid non-linear contractive structures. Existence and uniqueness criteria for fixed points are obtained by combining nonlinear control functions with generalized fuzzy metric techniques. The derived results extend various earlier contraction models in fuzzy metric theory and include several known principles as special instances. Illustrative examples and comparative observations are also presented.
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