Note on “Modified \(\alpha-\psi\)-contractive mappings with applications”. (English) Zbl 1325.54024
In this short paper, the authors note “that the modified version of {\(\alpha\)}-{\(\psi\)}-contractive mappings, suggested by P. Salimi et al. [Fixed Point Theory Appl. 2013, Article ID 151, 19 p. (2013; Zbl 1293.54036)], is not a real generalization” of the notions set forth in [E. Karapınar and B. Samet, Abstr. Appl. Anal. 2012, Article ID 793486, 17 p. (2012; Zbl 1252.54037)] and [B. Samet et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2154–2165 (2012; Zbl 1242.54027)].
MSC:
54H25 | Fixed-point and coincidence theorems (topological aspects) |
54E40 | Special maps on metric spaces |
54E50 | Complete metric spaces |