Fixed Points and Coincidences

96 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In Chapter 1 a Lefschetz-type coincidence theorem for two maps from an arbitrary topological space to a manifold is given: the coincidence index is equal to the Lefschetz number. It follows that if the Lefschetz number of the pair is not zero then the maps have a coincidence. In Chapter 2 we introduce abstract convex structures on topological spaces. In Chapter 3 we provide theorems extending the well-known fixed point theorems for multivalued maps on topological vector spaces, as well as some selection theorems.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD