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A note on ‘\(N\)-fixed point theorems for nonlinear contractions in partially ordered metric spaces’. (English) Zbl 1469.54131

Summary: In this note we prove that a kind of mappings depending on \(k\) arguments introduced in [M. Paknazar et al., Fixed Point Theory Appl. 2013, Paper No. 111, 15 p. (2013; Zbl 1423.54096)] only depend on their first argument. Therefore, results in that paper reduce to the unidimensional case. We also include some commentaries about the different notions of multidimensional fixed point.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces

Citations:

Zbl 1423.54096
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Full Text: DOI

References:

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