Fixed points of approximable maps

Park, Sehie

doi:10.1090/S0002-9939-96-03512-5

Fixed points of approximable maps
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Proc. Amer. Math. Soc. 124 (1996), 3109-3114 Request permission

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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