... trace bounds for the product of two general matrices.
The new trace bounds improve the recent results. Then, for their application in the algebraic
Riccati equation, we get some upper and lower bounds.
In ... of Inequalities and Applications
Volume 2009, Article ID 620758, 18 pages
doi:10.1155/2009/620758
Research Article
New Trace Bo...
... Fixed
point theory and Its application.
5 S. Reich, “A weak convergence theorem for the alternating method with Bregman distances,” in
Theory and Applications of Nonlinear Operators of Accretive and ... projection operators in Banach spaces: properties and
applications, ” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, vol...
... mapping T if x ∈ Tx.
We use the notation FixT standing for the set of fixed points of a mapping T and
Fixt ∩ FixT standing for the set of common fixed points of t
and T. Precisely, a point ... a common fixed point of t and T if x tx ∈ Tx.
In 2006, S. Dhompongsa et al. 1 proved a common fixed point theorem for two
nonexpansive commuting mappings.
Theorem 1...
... critical point theory and
applications, ” Journal of Functional Analysis, vol. 14, pp. 349–381, 1973.
24 M. Willem, Minimax Theorems,vol.24ofProgress in Nonlinear Differential Equations and Their
Applications, Birkh
¨
auser, ... Ekeland, “On the variational principle,” Journal of Mathematical Analysis and Applications, vol. 47, pp.
324–353, 1974.
22 P. H. Rabinow it z, M...
... similar to the method in [11] was an effective
technique for improving the linearization performance of
the MOP PD. In the following, the complexity of both
the proposed method and the method in [11]isevaluated.
Although ... (PAR) values [1]. Therefore, one
of the most challenging issues in designing PAs is the
linearity requirement. The linearization tech...
... certain new Gronwall-Ou-Iang type integral inequalities in
two variables and their applications, ” Journal of Inequalities and Applications, vol. 2005, no. 4,
pp. 347–361, 2005.
[4] B.G.Pachpatte,Inequalities ... (2.44)
G
−1
denotes the inverse function of G,andthefunctionF(t) is defined in (2.21)foranyt ∈ I.
Theorem 2.6. Let u(t) and a(t) be nonnegative continuous func...
... neural network methods have applications in kinematics control,
support vector machine learning, and related branches of engineering. Using the technique
and ideas of Liu and Cao 5 and Liu and Yang ... variational inclusions involving six different nonlinear
operators. This new class of system of extended general variational inclusions includes the
system of var...
... Petrus¸el and Rus in 4 in the s etting of
abstract L-spaces in the sense of Fr
´
echet, see, for example, 5,Theorems3. 3and3 .5.Another
fixed-point result of this type was given by O’Regan and Petrus¸el ... 2 Fixed Point Theory and Applications
Let f : X → X be a continuous and monotone (i.e., either decreasing or increasing) operator. Suppose
that the followi...
... on information from
the user community via the procedure described in the
following section.
5. Social Information: Sound-Concept Links
We quantify the social information connecting sounds and
concepts ... Chapter
of the Association for Computational Linguistics, Pittburgh, Pa,
USA, 2001.
[23] R. Mandala, T. Tokunaga, and H. Tanaka, The use of wordnet
in information r...
... in the
routing distance, and linear in the number of bits sent.
The proposed algorithm transmits information between
neighboring sensors and requires the transmission of a small
amount of information ... temperature
distribution, and studied the in uence of different tuning
parameters on the convergence of the algorithm. In the
second experimental setup,...