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Common fixed point theorem for pair of mappings satisfying common \((E.A)\)-property in complete metric spaces with application. (English) Zbl 1474.54270

Summary: In this paper, we establish a common fixed point theorem for quadruple of mappings satisfying common \((E.A)\)-property in the setup of complete metric spaces. We employ an example to substantiate the utility of our established result. We provide an application of our main result for four finite families of mappings.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54E50 Complete metric spaces