Isac, George; Yuan, George Xian-Zhi The dual form of Knaster-Kuratowski-Mazurkiewicz principle in hyperconvex metric spaces and some applications. (English) Zbl 0962.47022 Discuss. Math., Differ. Incl. 19, No. 1-2, 17-33 (1999). A hyperconvex version of the dual form of Knaster-Kuratowski-Mazurkiewicz principle is the main result of this paper. Then, as applications:1. Ky-Fan-type matching theorems2. Fixed point theorems (Browder-Fan, Fan-Glickberg)3. Ky-Fan-type best approximation theorem4. Intersection theorems (Alexandroff-Pasynkoff, Fan, Klee, Lassonde Horvath)are proved for the case of hyperconvex spaces. Reviewer: A.Petrusel (Cluj-Napoca) Cited in 1 ReviewCited in 2 Documents MSC: 47H04 Set-valued operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 49J35 Existence of solutions for minimax problems 47H10 Fixed-point theorems 52A99 General convexity 54C60 Set-valued maps in general topology Keywords:hyperconvex space; fixed point theorems; intersection theorems; Knaster-Kuratowski-Mazurkiewicz principle; Ky-Fan-type matching theorems; best approximation theorem PDFBibTeX XMLCite \textit{G. Isac} and \textit{G. X. Z. Yuan}, Discuss. Math., Differ. Incl. 19, No. 1--2, 17--33 (1999; Zbl 0962.47022)