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New fixed point theorems for a family of mappings and applications to problems on sets with convex sections. (English) Zbl 0891.46004

Summary: Some new fixed point theorems for a family of mappings are obtained and applied to problems on sets with convex sections that were first studied by Ky Fan.

MSC:

46A55 Convex sets in topological linear spaces; Choquet theory
47H10 Fixed-point theorems
47H04 Set-valued operators
54H25 Fixed-point and coincidence theorems (topological aspects)
49J40 Variational inequalities
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