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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some fixed point theorems for composites of acyclic maps


Authors: Sehie Park, S. P. Singh and Bruce Watson
Journal: Proc. Amer. Math. Soc. 121 (1994), 1151-1158
MSC: Primary 47H10; Secondary 47H19, 54C60, 54H25
DOI: https://doi.org/10.1090/S0002-9939-1994-1189547-8
MathSciNet review: 1189547
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1189547-8
Keywords: Acyclic map, approximatively compact, Kakutani factorizable multifunction, coincidence point
Article copyright: © Copyright 1994 American Mathematical Society