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A study of a special kind of \(N\)-fixed point equation system and applications. (English) Zbl 1488.54185

Summary: The purpose of this paper is to consider a system of \(N\)-fixed point equations in metric spaces. The existence and uniqueness of solution and an iterative algorithm for approximating the solution are studied. This system of \(N\)-fixed point equations is an extension of the classical of fixed point equation \(x=Tx\). The results of this paper improve several important works recently published in the literature.

MSC:

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