منابع مشابه
Evolution 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 کاملAn extension of the Ky Fan inequality
The aim of this paper is to analyze the weighted KyFan inequality proposed in [11]. A number of numerical simulations involving the exponential weighted function is given. We show that in several cases and types of examples one can imply an improvement of the standard KyFan inequality.
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 کاملKy Fan Inequality for Set-Valued Maps
In this paper, employing the Ky Fan section theorem,we give a class of Ky Fan inequality for set-valued maps,usually it takes Ky Fan inequality ,vector equilibrium problems as its special cases.
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.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2014
ISSN: 0024-3795
DOI: 10.1016/j.laa.2014.06.051