Du, Wei-Shih On Latif’s fixed point theorems. (English) Zbl 1241.54031 Taiwanese J. Math. 15, No. 4, 1477-1485 (2011). Some generalized fixed point theorems for the w-distance were given in [A. Latif, “Generalized Caristi’s fixed point theorems”, Fixed Point Theory Appl. 2009, Article ID 170140 (2009; Zbl 1171.54031)]. In the paper under review, it is proved that Latif’s fixed point statements are equivalent with some weak-distance variants of Caristi’s fixed point statement, Ekeland’s variational principle statement and Takahashi’s nonconvex minimization statement. Reviewer: Dorel Miheţ (Timişoara) Cited in 3 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E50 Complete metric spaces 54C60 Set-valued maps in general topology 47H10 Fixed-point theorems 49J53 Set-valued and variational analysis Keywords:\(w\)-distance; Caristi’s fixed point theorem; Ekeland’s variational principle; Takahashi’s nonconvex minimization theorem Citations:Zbl 1171.54031 PDFBibTeX XMLCite \textit{W.-S. Du}, Taiwanese J. Math. 15, No. 4, 1477--1485 (2011; Zbl 1241.54031) Full Text: DOI