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GENERALIZATIONS OF KY FAN’S THEOREM ON BEST APPROXIMATIONS
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作者 T. D. Narang 《Analysis in Theory and Applications》 2009年第2期109-116,共8页
In 1969, Ky Fan^[3] proved that for any continuous function f from a compact convex subset M of a normed linear space X into X, there exists x E M such that ||f(x) - x|| = dist(f(x),M). Since then, there hav... In 1969, Ky Fan^[3] proved that for any continuous function f from a compact convex subset M of a normed linear space X into X, there exists x E M such that ||f(x) - x|| = dist(f(x),M). Since then, there have appeared several generalizations, extensions and applications of this result. This paper also deals with some extensions and generalizations of this result when the underlying spaces are convex metric spaces. 展开更多
关键词 upper semi-continuous map compact map proper map affine map almostaffine map acyclic map k-mapping star-shaped set
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