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Common fixed point results for fuzzy mappings on complex-valued metric spaces with homotopy results. (English) Zbl 1423.54082

Summary: Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, we present a homotopy result to apply the results obtained herein.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
32C15 Complex spaces
54E35 Metric spaces, metrizability
03E72 Theory of fuzzy sets, etc.
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