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Fixed points of approximable maps |
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| Authors: | Sehie Park |
| Institution: | Department of Mathematics, Seoul National University, Seoul 151--742, Korea |
| 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. |
| Keywords: | Hausdorff topological vector space (t v s ) multimap (map) $(U V)$-approximative continuous selection approximable closed map compact map theorems of Leray-Schauder type Schaefer type Birkhoff-Kellogg type quasi-variational or variational inequalities |
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