weak and strong mean convergence theorems for super hybrid mappings in hilbert spaces
Báo cáo hóa học: " Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces" doc
Ngày tải lên :
21/06/2014, 00:20
... point theorems for new nonlinear mappings in a Hilbert spaces. J Nonlinear Convex Anal. 11,
79–88 (2010)
17. Takahashi, W, Yao, JC: Fixed point theorems and ergodic theorems for nonlinear mappings ... nonexpansive mappings,
nonspreading mappings, and hybrid mappings. We study the fixed point theorems
of generalized hybrid mappings on CAT(0) spaces. We also consider some iteration
processes for generalized ... generalized hybrid mappings on CAT(0) spaces, and our results
generalize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces.
Keywords: nonexpansive mapping, fixed point, generalized...
- 15
- 335
- 0
Báo cáo hóa học: " Strong convergent result for quasi-nonexpansive mappings in Hilbert spaces" doc
Ngày tải lên :
20/06/2014, 22:20
... Access
Strong convergent result for quasi-nonexpansive
mappings in Hilbert spaces
Ming Tian
*
and Xin Jin
* Correspondence:
tianming1963@126.com
College of Science, Civil Aviation
University of China, ... process for quasi-nonexpansive mappings in Hilbert spaces. Comput Math
Appl. 59(1), 74–79 (2009)
5. Tian, M: A general iterative algorithm for nonexpansive mappings in Hilbert spaces. Nonlinear ... method based on the hybrid steepest descent scheme for nonexpansive mappings in
Hilbert spaces. 2010 International Conference on Computational Intelligence and Software Engineering, CiSE 2010
(2010)....
- 8
- 249
- 0
Báo cáo hóa học: " Research Article Fixed Point Theorems for ws-Compact Mappings in Banach Spaces" ppt
Ngày tải lên :
21/06/2014, 11:20
... Functional Analysis. Theory and Applications, Holt, Rinehart and Winston, 1965.
10 A. Ben Amar and J. Garcia-Falset, “Fixed point theorems for 1-set weakly contractive and
pseudocontractive operators ... Hindawi Publishing Corporation
Fixed Point Theory and Applications
Volume 2010, Article ID 183596, 13 pages
doi:10.1155/2010/183596
Research Article
Fixed Point Theorems for ws-Compact Mappings ... continuous and for any weakly convergent sequence x
n
n∈N
in
M the sequence Ax
n
n∈N
has a strongly convergent subsequence in X. This concept arises
naturally in the study of both integral...
- 13
- 295
- 0
Báo cáo sinh học: " Fixed point and weak convergence theorems for point-dependent lambda-hybrid mappings in Banach spaces" doc
Ngày tải lên :
18/06/2014, 22:20
... [8] introduced a new class of nonlinear mappings in
a Hilbert space containing the classes of nonexpansive mappings, nonspreading
mappings and hybrid mappings. For λ ∈ R, they call a mapping ... point theorems and weak conver-
gence theorems for generalized hybrid mappings in Hilbert spaces. Taiwanese
J. Math. 14, 2497–2511 (2010)
[7] Takahashi, W: Fixed point theorems for new nonlinear ... mappings in a Hilbert
space. J. Nonlinear Convex Anal. 11, 79–88 (2010)
[8] Aoyama, K, Iemoto, S, Kohsaka, F, Takahashi, W: Fixed point and ergodic
theorems for λ -hybrid mappings in Hilbert spaces. ...
- 33
- 267
- 0
báo cáo hóa học:" Fixed point and weak convergence theorems for point-dependent lambda-hybrid mappings in Banach spaces" pot
Ngày tải lên :
20/06/2014, 04:20
... [8] introduced a new class of nonlinear mappings in
a Hilbert space containing the classes of nonexpansive mappings, nonspreading
mappings and hybrid mappings. For λ ∈ R, they call a mapping ... Aoyama–Iemoto–Kohsaka–Takahashi fixed point theorem for λ -hybrid
mappings in Hilbert spaces in 2010 to this much wider class of nonlinear
mappings in Banach spaces. Secondly, we derive an Opial-like inequality
for the Bregman ... Fully formatted
PDF and full text (HTML) versions will be made available soon.
Fixed point and weak convergence theorems for point-dependent lambda -hybrid
mappings in Banach spaces
Fixed Point...
- 33
- 304
- 0
báo cáo hóa học:" Research Article Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces" pptx
Ngày tải lên :
21/06/2014, 11:20
... Method
for In nite Family of Generalized Equilibrium and
Fixed-Point Problems of Nonexpansive Mappings
in Hilbert Spaces
Shenghua Wang
1, 2
and Baohua Guo
1, 2
1
National Engineering Laboratory for ... variational inequalities and fixed point problems for nonexpansive mappings, ”
Nonlinear Analysis: Hybrid Systems, vol. 3, no. 4, pp. 475–486, 2009.
14 A. Moudafi, Weak convergence theorems for nonexpansive ... Wang, G. Marino, and F. H. Wang, Strong convergence theorems for a generalized equilibrium
problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a
hilbert space,”...
- 24
- 398
- 0
Báo cáo hóa học: " Research Article A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces" potx
Ngày tải lên :
21/06/2014, 05:20
... Pseudocontractive
Mappings in Hilbert Spaces
Xiaolong Qin,
1
Sun Young Cho,
2
and Shin Min Kang
3
1
School of Mathematics and Information Sciences, North China University of Water Resources and
Electric ... pseudocontractions was introduced by Browder and Petryshyn 11 in a
real Hilbert space. In 2007, Marino and Xu 12 obtained a weak convergence theorem for the
class of strictly pseudocontractive mappings; see ... pseudocontractive mappings in the intermediate sense was
introduced by Qin et al. 20. Weak convergence theorems of fixed points were established
based on iterative methods; see 20 for more details.
In this...
- 11
- 407
- 0
Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pptx
Ngày tải lên :
20/06/2014, 22:20
... the following fixed point theorems for nonexpansive mappings
in Hilbert spaces.
In 1965, Browder [1] gave the following demiclosed principle for nonexpansive map-
pings in Hilbert spaces.
Theorem ... theorems, ergodic theorems , demiclosed prin-
ciples, and Ray’s type theorems for asymptotic nonspreading mappings and for asym p-
totic TJ mappings in Hilbert spaces.
3.1: Fixed point theorems
Theorem ... <a(x)+b(x) 2 for all x ẻ C.
Remark 1.1. The class of asymptotic nonspreading mappings contains the class of
nonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in
Definition...
- 16
- 383
- 0
Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pot
Ngày tải lên :
21/06/2014, 00:20
... theorems, ergodic theorems , demiclosed prin-
ciples, and Ray’s type theorems for asymptotic nonspreading mappings and for asym p-
totic TJ mappings in Hilbert spaces.
3.1: Fixed point theorems
Theorem ... asymptotic nonspreading mappings contains the class of
nonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in
Definition 1.1, we know that
(i) if a (x)=b (x) = 1 for all x ... for nonspreading mappings in Hilbert
spaces.
Furthermore, Takahashi and Yao [9] also introduced two nonlinear mappings in Hil-
bert spaces. A mapping T : C đ C is called a TJ-1 mapping [9] if
2||Tx...
- 16
- 326
- 0
Báo cáo hóa học: " Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces" potx
Ngày tải lên :
21/06/2014, 07:20
... pages
doi:10.1155/2010/547828
Research Article
Convergence of Paths for Perturbed Maximal
Monotone Mappings in Hilbert Spaces
Yuan Qing,
1
Xiaolong Qin,
1
Haiyun Zhou,
2
and Shin Min Kang
3
1
Department of Mathematics, ... convergence of zero points for monotone mappings or fixed points of
pseudocontractions, see, for instance, 1–23 .
In 1965, Browder 1 proved the existence result of fixed point for demicontinuous
pseudocontractions ... convexity and continuity of h, we can get the convexity and continuity of the set
K. Since h is continuous and H is a Hilbert space, we see that h attains its in mum over
K;see20 for more details....
- 9
- 364
- 0
Báo cáo hóa học: " Research Article A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces Urailuk Singthong1 and Suthep Suantai1, 2" potx
Ngày tải lên :
21/06/2014, 11:20
... mapping, called K-
mapping, for finding a common fixed point of a finite family of nonexpansive mappings. For
a finite family of nonexpansive mappings {T
i
}
N
i1
and sequence {γ
n,i
}
N
i
in 0, ... original work is properly cited.
We introduce a new general iterative method by using the K-mapping for finding a common fixed
point of a finite family of nonexpansive mappings in the framework of Hilbert ... has only weak convergence, even in a Hilbert space
setting. In general for example, Reich 2 showed that if E is a uniformly convex Banach space
and has a Frehet differentiable norm and if the...
- 12
- 427
- 0
báo cáo hóa học:" Research Article Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces" pdf
Ngày tải lên :
21/06/2014, 11:20
... algorithms for nonexpansive
mappings in Hilbert spaces, ” Fixed Point Theory and Applications, vol. 2009, Article ID 279058, 7 pages,
2009.
Fixed Point Theory and Applications 3
2. Preliminaries
Let ... {T
n
} by {W
n
}
in the recursion formula 3.19, we can obtain the corresponding results of the so-called
W-mapping.
Setting F A and T
n
T in Theorem 3.5, we can obtain the following result.
Corollary ... positive bounded linear operator
A is a A-Lipschitzian and γ-strongly monotone operator.
Construction of fixed points of nonlinear mappings is an important and active research
area. In particular,...
- 12
- 423
- 0
