Ky Fan’s inequality
A generalization of Ky Fan's inequality
... Our main goal in this paper is to present a theorem which provides essentially a unified treatment of Theorems 1.1, 1.2, 1.3, 1.4, and 1.5 and also gives new extensions of Ky Fan’s inequality. In Section 3, ...
7
Some Refinements of Ky Fan's Inequality
... We give some refinements of Ky Fan’s inequality and also prove some inequalities involving the symmetric means1. Recently, the author[7] proved the following result.[r] ...
8
A Generalization of Ky Fan's Inequality
... In this case both inequalities (1.6) and (1.7) hold and combinations of previous results yield:.. Corollary 3.3.[r] ...
6
On a Class of Ky Fan Type Inequalities
... that inequality 1.2 does not hold for all pairs r, s see ...1, s 0, α ...1, inequality 1.3 is commonly referred as the additive Ky Fan’s ...of Ky Fan’s ...
11
A new approach to Ky Fan type inequalities
... Cartwright and Field [9] first proved the validity of (1.2) for r = 1, s = 0. For other extensions and refinements of (1.2), see [3, 13, 18, 19]. Inequality (1.3) is commonly referred to as the additive ...
24
Ky Fan inequality and bounds for differences of means
... We point out that inequalities (1.2) and (1.3) do not hold for all r > s. We refer the reader to the survey article [2] and the references therein for an account of Ky Fan’s inequality, and to [4, ...
8
A New Approach to Ky Fan-type Inequalities
... D.Cartwright and M.Field[5] first proved the validity of (1.1) for r = 1, s = 0. For other extensions and refinements of (1.1), see [3], [7],[13] and [14]. (1.2) is commonly referred as the additive Ky ...
8
Certain Bounds for the Differences of Means
... [9] P. Gao, A generalization of Ky Fan’s inequality, Int. J. Math. Math. Sci. 28 (2001), 419-425. [10] N. Levinson, Generalization of an inequality of Ky Fan, J. Math. Anal. Appl., 8 ...
8
On Some Analogues of Ky Fan-type Inequalities
... D.Cartwright and M.Field[6] first proved the validity of (1.2) for r = 1, s = 0. For other extensions and refinements of (1.2), see [3], [7],[11] and [12]. (1.3) is commonly referred as the additive Ky ...
8
On a Class of Ky Fan-Type Inequalities
... As we have pointed out in Section 1 that if either one of the inequalities (1.1)-(1.3) holds for some r, s, α ≤ 2, then one often expects inequality (1.4) to hold as well for the same r, s, α. In ...
8
Ky Fan Inequality and Bounds for Differences of Means
... theorem 2.1 that (1.3) holds for r = 1, −1 ≤ s < 1 and s = 1, 1 < r ≤ 2. This proves the “if” part of the statement and the “only if” part follows from the previous lemma. We note here a special case ...
6
On generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality
... Corollary . Let E be Hilbert space and C be a nonempty closed convex subset of E. Let T : C → C be a generalized asymptotically quasi-nonexpansive mapping. Let f be a bifunction from C × C to R satisfying (A)-(A). ...
15
Ky Fan minimax inequalities for set-valued mappings
... the Ky Fan minimax theorems for vector-valued ...a Ky Fan minimax inequality for vector-valued map- pings on H-spaces by using a generalized Fan’s section theorem and a generalized ...
12
A Hybrid Extragradient Method for Solving Ky Fan Inequalities, Variational Inequalities and Fixed Point Problems
... Theorem 6. Let C be a nonempty, closed and convex subset of a real Hilbert space H , let F be a bifunction F : C× C into R satisfying conditions (A1) − (A5), let A be an α-inverse-strongly monotone mapping of C into H. ...
6
Finding the largest low rank clusters with Ky Fan 2 k norm and l1 norm
... Clearly, S G ∗ ( B , B ) ∈ [0, 1] and S G ∗ ( B , B ) = 1 if B and B are the ...relevance, S ∗ G ( B , B ∗ ) and the average module recovery, S G ∗ ( B ∗ , B ...score S C ∗ for ...
40
On the Ky Fan Inequality
... ALZER, The inequality of Ky Fan and related results, Acta Applicandae Mathematicae, An International Survey Journal on Applying Mathematics and Mathematical Applications,.. 38 (1995), 30[r] ...
6
BHARTIY SANGIT KE PRAMUKH TANTRI VADYO KA BHED EANV VAGRIKARAN
... kw s<gIq my< Apnw-Apnw mhËv hY prNqu s<gIq ky ivkws my< qNqu vw´ kw apXog AËXNq mhËvpUx~ mwnw gXw hY AOr qNqu vw´o< ky ANqg~q isqwr kw mhËvpUx~ áQwn hY[ isqwr kw pRcwr AOr pRswr ...
10
Existence Results for System of Variational Inequality Problems with Semimonotone Operators
... variational inequality in real reflexive Banach space. By using the Kakutani-Fan-Glicksberg fixed point theorem, we obtain some existence results for system of generalized variational inequality for ...
14
Maximum Principles for Normal Matrices
... As in the former cases it is easy to verify that when using the trace norm on a positive semidefinite hermitian matrix the last assertion is reduced to Ky Fan maximum principle.. It shou[r] ...
9
On Minkowski's inequality and its application
... 2000 Mathematics Subject Classification: 52A30, 52A40, 26D15 Keywords: Minkowski?’?s inequality, H?ö?lder?’?s inequality, Brunn-Minkowski inequality, dual mixed volume.. 1 Improvement of[r] ...
5