... Publishing Corporation
Fixed Point Theory and Applications
Volume 2010, Article ID 327493, 9 pages
doi:10.1155/2010/327493
Research Article
Nielsen Type Numbers of Self-Maps on
the Real Projective Plane
Jiaoyun ... estimate the number of periodic points of f and the number
of fixed points of the iterates of map f.
1. Introduction
Topological fixed point t...
... focus on the local similarity of the Bayer color
difference plane not only along the directional axis but
also beside the axis within the local region. Since the edge
directions of the pixels on ... direc-
tion. When the direction is not obviously determined, we
decide the direction as nondirectional (Non). Therefore, the
final types of the edge direction are EDT...
... V
l
is the variance of the lth corresponding filter
channel, l is the filter number index, L is the number of filters,
and E
l
is the energy vector of the lth filter channel. Visual
representation of the ... representation. In the figure there are three
explicit regions. The left region represents speech (0–8 sec-
onds), the middle region represents silence (8–10 second...
... observation about the phenomena is that the size
of pseudo-Gibbs depends mainly on the location of a
discontinuity in the signal. For example, when using the Haar
wavelets as basis, a discontinuity ... of the shift, but there is
no guarantee that this will always be the case. If the signal
has several discontinuities, they may interfere with each
other, that is, the...
... one-way propagation delay of T
x
milliseconds
and a capacity of R
x
Mbps. The bottleneck link, on the other
hand, has a one-way propagation delay of T
b
milliseconds
and a capacity of R
b
Mbps, and ... facility to specify the length of the training period,
in terms of the number of continuous detection windows
(denoted by N
d
), before using it for detection. At the...
... minimization is the PAST cost
function, (5) leads to the signal subspace. In addition, the
aforementioned constraint guarantees the orthonormality of
the signal subspace. The use of the forgetting ... shows the trajectories of the sources. Because of the
nonstationarity of the environment, the forgetting factor is
chosen as β
= 0.75. The SNR of each sourc...
... sets. Therefore, we consider the conjunction
of the following criteria:
(i) the number of sets N
sets
of the topographic map, which
refers to the reduction of the amount of data;
(ii) the dissimilarity ... repre-
sentations which is the definition of hue for low saturation.
The scan of the RGB space depends directly on the image
content, that is on the...
... al. 4, 5. Further, F2, 0, 1BMOA ,the
analytic functions of bounded mean oscillation. Note that Fp, q, s is the space of constant
functions if q s ≤−1. More information on the spaces Fp, ... completes the proof of the theorem.
Acknowledgments
The author wishes to thank Professor Rauno Aulaskari for his helpful suggestions. This
research was supported in part by...
... β
v
1
≥ D.
2.2
For the proof of the fundamental theorem on G-upper and G-lower solutions for
problem H, we need the following lemma. One may refer to 7 for the proof.
Boundary Value Problems ... existence theorem of positive solutions for problem P with
Dirichlet boundary condition and the existence and nonexistence part of the result for
problem P with two-p...
... subset of a Banach space E. We will denote 2
E
by the family of all
subsets of E, CBE the family of nonempty closed and bounded subsets of E, CE the
family of nonempty compact subsets of E.LetCKE ... p
exists.
3.9
So the desired conclusion follows.
The proof is completed.
8 Fixed Point Theory and Applications
Theorem 3.6. Let K be a nonempty compact convex...