Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Fixed points of approximable maps

Author(s): Sehie Park
Journal: Proc. Amer. Math. Soc. 124 (1996), 3109-3114.
MSC (1991): Primary 47H10, 54C60; Secondary 54H25, 49J35, 49K35, 52A07, 55M20
MathSciNet review: 1343717
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Abstract: We present a simple proof of the Leray-Schauder type theorem for approximable multimaps given recently by Ben-El-Mechaiekh and Idzik. We apply this theorem to obtain a Schaefer type theorem, the Birkhoff-Kellogg type theorems, a Penot type theorem for non-self-maps, and quasi-variational inequalities, all related to compact closed approximable maps.

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