New generalizations of basic theorems in the KKM theory |
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| Authors: | Sehie Park |
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| Institution: | The National Academy of Sciences, Seoul, 137-044, Republic of Korea Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Republic of Korea |
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| Abstract: | In the present paper, we obtain a new KKM type theorem for intersectionally closed-valued KKM maps and some useful new basic consequences. Typical examples of them are abstract forms of Fan’s matching theorem, Fan’s geometric lemma, the Fan-Browder fixed point theorem, maximal element theorems, Fan’s minimax inequality, variational inequalities, and others. |
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| Keywords: | 47H04 47H10 52A99 54H25 58E35 90C47 |
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