A Set-Valued Generalization of Fan's Best Approximation Theorem
1992 ◽
Vol 44
(4)
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pp. 784-796
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Keyword(s):
AbstractLet (E, T) be a Hausdorff topological vector space whose topological dual separates points of E, X be a non-empty weakly compact convex subset of E and W be the relative weak topology on X. If F: (X, W) → 2(E,T) is continuous (respectively, upper semi-continuous if £ is locally convex), approximation and fixed point theorems are obtained which generalize the corresponding results of Fan, Park, Reich and Sehgal-Singh-Smithson (respectively, Ha, Reich, Park, Browder and Fan) in several aspects.
1978 ◽
Vol 30
(03)
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pp. 449-454
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1976 ◽
Vol 19
(1)
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pp. 7-12
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Keyword(s):
1975 ◽
Vol 13
(2)
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pp. 241-254
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Keyword(s):
2002 ◽
Vol 31
(4)
◽
pp. 251-257
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2011 ◽
Vol 04
(03)
◽
pp. 373-387
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1995 ◽
Vol 8
(4)
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pp. 381-391
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1987 ◽
Vol 42
(3)
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pp. 390-398
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2003 ◽
Vol 2003
(6)
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pp. 375-386
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Keyword(s):