A NOTE ON A THEOREM OF CONTINUUM OF ZERO POINTS
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概要
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By developing an algorithm, Herings, Talman and Yang [6] recently proved the following interesting and deep theorem: A correspondence ζ from the n-dimensional unit cube U^n to the n-dimensional Euclidean space R^n has a continuum of zero points containing the origin and the vector of all-ones if the correspondence satisfies certain conditions. In this note we give an alternative proof of the theorem in the case where the correspondence ζ: U^n → R^n is single-valued.
- 社団法人日本オペレーションズ・リサーチ学会の論文
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