×

Coincidence points and maximal elements of multifunctions on convex spaces. (English) Zbl 0829.47050

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.

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
PDFBibTeX XMLCite
Full Text: EuDML