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On a Class of Ky Fan-Type Inequalities
2009
International Journal of Mathematics and Mathematical Sciences
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We study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones. ...
In this paper, we will focus on the special case α 0 of 1.2 , which has ties with the following result of Ky Fan that initiated the study of the whole subject. Theorem 1.2 see 10, page 5 . ...
When α 1, inequality 1.3 is commonly referred as the additive Ky Fan's inequality. We refer the reader to the survey article 9 and the references therein for an account of Ky Fan's inequality. ...
doi:10.1155/2009/293539
fatcat:ll5x7ei7rbap7drtxvevh6qpey
Schur-convexity for a class of symmetric function and its applications
2006
Mathematical Inequalities & Applications
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Some analytic inequalities, including "Ky Fan" type inequalities, are established by use of the theory of majorization. An open problem is also solved partly. (2000) : 05E05, 26D20. ...
SCHUR-CONVEXITY FOR A CLASS OF SYMMETRIC FUNCTION AND ITS APPLICATIONS
KAIZHONG GUAN AND JIANHUA SHEN Abstract. ...
doi:10.7153/mia-09-20
fatcat:y3hd3ki4r5azxfh5pdrgehshzy
Ky Fan inequalities
[article]
2011
arXiv
pre-print
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There are several inequalities in the literature carrying the name of Ky Fan. ...
We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments. ...
Ky Fan also worked on systems of inequalities. ...
arXiv:1108.1467v2
fatcat:6s34smemhbfyjkgwkuhhkrbihm
Operator Ky Fan type inequalities
2018
Linear Algebra and its Applications
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2018 pre-print arXiv:1811.00475v1 fatcat:abexkcbph5grlowodzvzk5beb4
In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions. ...
0<A,B≤1/2I, we have A'∇_μ B'-A'σ B'≤ A∇_μ B-Aσ B, where I is the identity operator on H, A':=I-A, B':=I-B, and ∇_μ is the μ-weighted arithmetic mean. ...
The authors would like to be grateful to Professor Maryam Khosravi for her valuable comments regarding to eigenvalue inequalities. ...
doi:10.1016/j.laa.2018.07.009
fatcat:gpeytyl55fb7jdloqce6wmkuye
Page 1236 of Mathematical Reviews Vol. , Issue 2000b
[page]
2000
Mathematical Reviews
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As applications, component fixed-point theorems of the Ky Fan fam- ily are proved, which are the product versions of Fan-Browder fixed-point theorems, and a system of Ky Fan minimax inequal- ities for ...
In this paper, the authors study fixed-point theorems, minimax in- equalities of Ky Fan type and variational inequalities of a family of numerical mappings in product spaces from the viewpoint of the existence ...
Page 7070 of Mathematical Reviews Vol. , Issue 98K
[page]
1998
Mathematical Reviews
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Seppo Heikkild (FIN-OUL; Oulu)
98k:47128 47H19 47H40 47850 49)40
Chen, Ru Dong
Solutions and applications of a class of random set-valued Ky Fan variational inequalities. (Chinese. ...
In this paper the author obtains the solution of a kind of random set-valued Ky Fan variational inequality with noncompact set- values in Banach spaces. ...
Generalized Equilibrium Problems Related to Ky Fan Inequalities
2014
Abstract and Applied Analysis
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We study a generalized equilibrium problem by using a nonsymmetric extension of Ky Fan's inequality. ...
As an application, we present a fixed point type algorithm inspired by a model from Tada and Takahashi (2007). ...
Acknowledgment This work was supported by a Grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, Project no. PN-II-RU-TE-2011-3-0223. ...
doi:10.1155/2014/301901
fatcat:nh434rtd6raxhlmintvg56xf7i
Page 909 of Mathematical Reviews Vol. , Issue 96b
[page]
1996
Mathematical Reviews
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He shows that the fans may serve for the derivation of a variational theory for some type of boundary con- ditions arising in damage problems. ...
We prove several theorems on existence of solutions for the class of problems in topological vector spaces. ...
Page 2497 of Mathematical Reviews Vol. , Issue 93e
[page]
1993
Mathematical Reviews
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Bullen (3-BC)
MEASURE AND INTEGRATION
93e:26015 26D20
Sandor, J6zsef
On an inequality of Ky Fan. ...
Henrici which
states that ,
- 1+4a,
n > “1+ Ya dn
for a; > 1. Putting a; = (1 — x;)/x; (with 0 < x; < 4) here, one obtains the inequality of Ky Fan. ...
Page 1907 of Mathematical Reviews Vol. , Issue 2004c
[page]
2004
Mathematical Reviews
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In this paper the author proves the equivalence between Ky Fan-
type inequalities and certain bounds for the differences of means. He also generalizes a result of H. Alzer, S. Ruscheweyh and
L. ...
We show that this result holds for a wider class of functions and for some signed measures.”
2004¢:26031 26D15 26A51
Gao, Peng (1-MI; Ann Arbor, MI)
A note on a paper: “Monotonic averages of convex functions ...
Page 2031 of Mathematical Reviews Vol. , Issue 82e
[page]
1982
Mathematical Reviews
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They use this result to obtain a dual estimate for solutions of
variational inequalities of Neumann type.
M. ...
An infinite-dimensional analogue
of the Walras excess demand theorem is given, which is equivalent
to the Fan-Glicksberg fixed point theorem.”
Ky Fan (Santa Barbara, Calif.) ...
Existence of solutions for generalized vector quasi-equilibrium problems
2009
Optimization Letters
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This paper deals with three classes of generalized vector quasi-equilibrium problems with or without compact assumptions. ...
Keywords Generalized vector quasi-equilibrium problem · Weak type C x -diagonal quasi-convex and strong type C x -diagonal quasi-convex · Fan-KKM theorem Mathematics Subject Classification (2000) 49K30 ...
In [19], Li et al. used the Ky Fan minimax inequality theorem [21] and nonlinear scalarization function [10] to obtain existence results for (GVQEP2) and (GVQEP3). ...
doi:10.1007/s11590-009-0142-9
fatcat:hgwunozv2zaxdflxdmm6udasfm
Non-commutative Clarkson inequalities for unitarily invariant norms
2002
Pacific Journal of Mathematics
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It is shown that if A and B are operators on a separable complex Hilbert space and if ||| · ||| is any unitarily invariant norm, then ...
Now the desired inequalities (17) follow by the Ky Fan dominance principle. Lemma 2 . 2 Let A and B be positive operators in B(H). ...
more general classes of functions. ...
doi:10.2140/pjm.2002.202.363
fatcat:ivxu2j3vuncahczgldd33i7s3q
Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality
2014
Abstract and Applied Analysis
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Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality ...
These results extend and improve the recent ones in the literature. Some examples are given to illustrate our results. ...
Acknowledgments This research was supported by the Basic and Advanced Research Project of CQ CSTC (Grant no. cstc2014jcy-jA00044) and the Foundation of Chongqing University of Posts and Telecommunications ...
doi:10.1155/2014/451521
fatcat:c7c2u2ag35anljtbjop7q3qhc4
Page 6509 of Mathematical Reviews Vol. , Issue 94k
[page]
1994
Mathematical Reviews
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Apart from the fact that Ky Fan convexity implies Kénig convexity, the result of Kénig formally is an extension of Ky Fan’s result. ...
Both theorems deal with real-valued functions on the products X x Y (X¥ acompact topological space and Y a nonempty set) fulfilling a certain kind of convexity conditions (Ky Fan convexity and K6nig convexity ...
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