منابع مشابه
On a lemma of Ky Fan
The object of this note is to give two applications of an intersection lemma of Ky Fan. First it is used to obtain a variational property of a strongly continuous function on a weakly compact convex subset of a normed space. In the second half we apply the lemma to obtain a direct proof of a result on the extension of monotone sets in topological linear spaces. It was established separately by ...
متن کاملEvolution of the 1984 KKM theorem of Ky Fan
*Correspondence: [email protected]; [email protected] The National Academy of Sciences, ROK, Seoul, 137-044, Korea Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Korea Abstract Recently we established the Knaster, Kuratowski, and Mazurkiewicz (KKM) theory on abstract convex spaces. In our research, we noticed that there are quite a few generalizations and a...
متن کاملOn an identity of Ky Fan
This nice identity was applied in the same paper. Rather surprisingly, this result did not seem to have caught much attention. The object of this short note is to indicate some other consequences of identity (1), which have not been quoted in [5] or [6]. Before going further, and since no proof of this identity is given in [6], we thought worth to give one. The proof goes as follows. Put for an...
متن کاملSome extensions on Fan Ky ’ s inequality
In this paper we study the inequalities of the determinants of the positive definite matrices and the invertible matrices by applying the integral method and matrix theory such that extensions of Fan Ky’s inequality are established. And then an improvement of Fan Ky’s inequality is given by using the positive definiteness of Gram matrix. Mathematics Subject Classification (2010): 15A15, 26D15.
متن کاملOn a Class of Ky Fan-Type Inequalities
In this paper, we study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1988
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-55-2-249-251