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A note on ‘\(\psi\)-Geraghty type contractions’. (English) Zbl 1395.54049
Summary: Very recently, the notion of a \(\psi\)-Geraghty type contraction was defined by M. E. Gordji et al. [ibid. 2012, Paper No. 74, 9 p. (2012; Zbl 1278.54031)]. In this short note, we realize that the main result via \(\psi\)-Geraghty type contraction is equivalent to an existing related result in the literature. Consequently, all results inspired by the paper of Gordji et al. [loc. cit.] can be derived in the same way.

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