Park, Sehie Coincidence points and maximal elements of multifunctions on convex spaces. (English) Zbl 0829.47050 Commentat. Math. Univ. Carol. 36, No. 1, 57-67 (1995). Summary: Generalized and unified versions of coincidence or maximal element theorems of Fan, Yannelis and Prabhakar, Ha, Sessa, Tarafdar, Rim and Kim, Mehta and Sessa, Kim and Tan are obtained. Our arguments are based on our recent works on a broad class of multifunctions containing composites of acyclic maps defined on convex subsets of Hausdorff topological vector spaces. Cited in 2 Documents MSC: 47H10 Fixed-point theorems 47H04 Set-valued operators 49J40 Variational inequalities 54H25 Fixed-point and coincidence theorems (topological aspects) 55M20 Fixed points and coincidences in algebraic topology Keywords:convex space; polytope; upper semicontinuous; lower semicontinuous; Kakutani map; admissible class; almost \(p\)-affine; almost \(p\)- quasiconvex; maximal element; maximal element theorems; multifunctions containing composites of acyclic maps PDFBibTeX XMLCite \textit{S. Park}, Commentat. Math. Univ. Carol. 36, No. 1, 57--67 (1995; Zbl 0829.47050) Full Text: EuDML