Some fixed point theorems for composites of acyclic maps

Park, Sehie; Singh, S. P.; Watson, Bruce

doi:10.1090/S0002-9939-1994-1189547-8

Some fixed point theorems for composites of acyclic maps
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by Sehie Park, S. P. Singh and Bruce Watson

Proc. Amer. Math. Soc. 121 (1994), 1151-1158

DOI: https://doi.org/10.1090/S0002-9939-1994-1189547-8

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Abstract:

We obtain fixed point theorems for a new class of multifunctions containing compact composites of acyclic maps defined on a convex subset of a locally convex Hausdorff topological vector space. Our new results are applied to approximatively compact, convex sets or to Banach spaces with the Oshman property.

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