weak and strong convergence theorems for strict pseudocontractions in hilbert spaces
Báo cáo hóa học: " Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces" pot
Ngày tải lên :
21/06/2014, 11:20
... iteration and the modified Ishikawa iteration, Zhou 3
obtained some weak and strong convergence theorems for λ -strict pseudocontractions in
Hilbert spaces which extend the corresponding results in ... pages
doi:10.1155/2010/150539
Research Article
Strong Convergence Theorems for Strict
Pseudocontractions in Uniformly Convex
Banach Spaces
Liang-Gen Hu,
1
Wei-Wei Lin,
2
and Jin-Ping Wang
1
1
Department of Mathematics, Ningbo University, ... Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967.
2 G. Marino and H K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in
Hilbert spaces, ” Journal of...
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Báo cáo hóa học: " Research Article Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense" pptx
Ngày tải lên :
21/06/2014, 11:20
... asymptotically κ -strict pseudocontractions was introduced by Qihou 4 in 1996
see also 5.KimandXu6 studied weak and strong convergence theorems for this class
of mappings. It is important ... Xu, Weak and strong convergence theorems for strict pseudo-contractions in
Hilbert spaces, ” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 336–346, 2007.
Fixed Point ... 3502–3511,
2009.
8 M. O. Osilike and S. C. Aniagbosor, Weak and strong convergence theorems for fixed points of
asymptotically nonexpansive mappings,” Mathematical and Computer Modelling, vol. 32, no. 10,...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf
Ngày tải lên :
20/06/2014, 21:20
... different from the
strong convergence theorems for the implicit iterative processes in the literatures.
Finally, we discuss a strong convergence theorem concerning two nonexpansive
mappings and the resolvent ... strong convergence theorem of an implicit-shrinking iterative process
for two nonexpansive mappings and a relative nonexpansive mapping on Banach
spaces. Note that the conditions of strong convergence ... point sets of nonexpansive mappings in Banach spaces. Trans Am Math Soc. 179, 251–262
(1973)
17. Browder, FE: Fixed point theorems for noncompact mappings in Hilbert spaces. Proc Nat Acad Sci USA....
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc
Ngày tải lên :
20/06/2014, 21:20
... point sets of nonexpansive mappings in Banach spaces. Trans Am Math Soc. 179, 251–262
(1973)
17. Browder, FE: Fixed point theorems for noncompact mappings in Hilbert spaces. Proc Nat Acad Sci USA. ... Banach space and let E* b e the dual space of E. For a
sequence {x
n
}ofE and a point x ẻ E, the weak convergence of {x
n
}tox and the strong
convergence of {x
n
}tox are denoted by x
n
x and x
n
đ ... values in I.) And they proved the weak convergence of p ro-
cess (1.3) to a common fixed point in the setting of a Hilbert space.
In 2010, K han et al. [5] presented an implicit iterative process for...
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Báo cáo hóa học: " Another weak convergence theorems for accretive mappings in banach spaces" pot
Ngày tải lên :
21/06/2014, 01:20
... convergence theorems for nonexpansive mappings in Banach spaces. J Math Anal Appl. 67, 274–276
(1979). doi:10.1016/0022-247X(79)90024-6
10. Suzuki, T: Strong convergence theorems for infinite families ... λ
n
A
)
x
n
− p
)
→ 0
.
□
We now obtain the fo llowing weak conv ergence theorems in uniforml y convex
spaces.
Theorem 3.13. Let E be a uniformly convex and 2-uniformly smooth Banach space.
Let C ... J(Qx-y)
0forallx ẻ E and y ẻ C. In this case, Q is uniquely determined. Using this result,
Aoya ma et al. obtained the following result. Recall that, for a mapping T : C đ E,the
set of fixed points...
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Báo cáo hóa học: " Research Article An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces" pdf
Ngày tải lên :
21/06/2014, 05:20
... North-Holland, Amsterdam, The Netherlands, 2001.
11 H. Iiduka and W. Takahashi, Strong convergence theorems for nonexpansive mappings and inverse-
strongly monotone mappings,” Nonlinear Analysis: ... 43–52, 2006.
7 X. Qin, M. Shang, and S. M. Kang, Strong convergence theorems of modified Mann iterative process
for strict pseudo-contractions in Hilbert spaces, ” Nonlinear Analysis: Theory, ... method for finding an element of EPφ ∩ FS,whereS : C → H is
a k-strictly pseudocontractive non-self mapping, and then obtained two strong convergence
theorems.
Journal of Inequalities and Applications...
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báo cáo hóa học: " Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense" pot
Ngày tải lên :
21/06/2014, 02:20
... Duan and Zhao: Strong convergence theorems for system of equilibrium problems and
asymptotically strict pseudocontractions in the intermediate sense. Fixed Point Theory and Applications 2011
2011:13.
Submit ... Hu and Cai [3] further considered the asymptotically strict pseudocon-
tractive mappings in the intermediate sense concerning equilibrium problem. They
obtained the following result in a real Hilbert ... LetCbeanonemptyclosedconvexsubsetofarealHilbertspaceH
and N ≥ 1 be an integer, j : C đ C be a bifunction satisfying (A1)-(A4) and A : C đ
Hbeana-inverse-strongly monotone mapping. Let for each 1 ≤ i ≤ N, T
i
: C ® Cbea
uniformly...
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báo cáo hóa học:" Research Article Weak Convergence Theorems for a Countable Family of Strict Pseudocontractions in Banach Spaces" doc
Ngày tải lên :
21/06/2014, 11:20
... converge in a Hilbert space; see 4.
In 1967, Browder-Petryshyn 2 introduced the class of strict pseudocontractions and
proved existence and weak convergence theorems in a real Hilbert setting ... of
Mathematical Analysis and Applications, vol. 67, no. 2, pp. 274–276, 1979.
7 G. Marino and H K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in
Hilbert spaces, ” Journal ... Q. H. Ansari, and J. C. Yao, Strong and weak convergence theorems for asymptotically
strict pseudocontractive mappings in intermediate sense,” Journal of Nonlinear and Convex Analysis,
vol. 11,...
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- 0
Báo cáo hóa học: "Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings" pdf
Ngày tải lên :
21/06/2014, 00:20
... obtain strong convergence theorems for a countable family of
nonexpansive mappings and a strictly pseudocontractive mapping, and a countable
family of uniformly k-strictly pseudocontractive mappings ... Iterative algorithms for nonlinear operators. J Lond Math Soc. 2, 240–256 (2002)
9. Zhou, H: Convergence theorems of fixed points for k -strict pseudo-contractions in Hilbert spaces. Nonlinear Anal. 69,
456–462 ... article as: Bunyawat and Suantai: Strong convergence theorems for variational inequalities and fixed
points of a countable family of nonexpansive mappings. Fixed Point Theory and Applications 2011...
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Báo cáo hóa học: " Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications" pptx
Ngày tải lên :
21/06/2014, 01:20
... subset of H and T : K đ H be a mapping.
In this paper, the set of fixed points of T is denoted by F(T). We use symbols đ and
to denote strong and weak convergence, respectively.
For each point x ẻ ... problems
and the set of fixed points of a nonexpansive mapping in a real Hilbert space. Under
appropriate conditions, some strong convergence theorems are established. The
results obtained in this ... Studies in Advanced Mathematics, vol. 28,
Cambridge University Press, Cambridge (1990)
13. Suzuki, T: Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces. ...
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Báo cáo hóa học: " Research Article Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space" doc
Ngày tải lên :
21/06/2014, 20:20
... mappings were investigated in 20 .In 23 the weak convergence of three-
step Noor iterative scheme for an I-nonexpansive mapping in a Banach space has been
established. Recently, in 24 the weak ... no. 1, pp. 153–159, 1991.
13 N. Shioji and W. Takahashi, Strong convergence theorems for asymptotically nonexpansive
semigroups in Hilbert spaces, ” Nonlinear Analysis: Theory, Methods & Applications, ... process for a finite family of nonexpansive
mappings in Banach spaces, ” Fixed Point Theory and Applications, vol. 2006, Article ID 82738, 11 pages,
2006.
18 H. Y. Li and H. Z. Li, Strong convergence...
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Báo cáo hóa học: " Research Article Strong and Δ Convergence Theorems for Multivalued Mappings in CAT 0 Spa" pdf
Ngày tải lên :
22/06/2014, 02:20
... CAT0 space always has a fixed point. Since then the fixed
point theory for single-valued and multivalued mappings in CAT0 spaces has been rapidly
developed and many of papers have appeared ... “Fixed point theorems in CAT0 spaces and
R-trees,” Fixed Point Theory and Applications,
vol. 2004, no. 4, pp. 309–316, 2004.
16 S. Dhompongsa, A. Kaewkhao, and B. Panyanak, “Lim’s theorems for ... regularity for CAT0 -spaces, ” Journal of Mathematical
Analysis and Applications, vol. 325, no. 1, pp. 386–399, 2007.
22 N. Shahzad and J. Markin, “Invariant approximations for commuting mappings in...
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- 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 ... and S. A. Hirstoaga, “Equilibrium programming in Hilbert spaces, ” Journal of
Nonlinear and Convex Analysis, vol. 6, no. 1, pp. 117–136, 2005.
24 W. Takahashi, Weak and strong convergence theorems ... 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,”...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt
Ngày tải lên :
21/06/2014, 20:20
... Anthony To Ming Lau
We introduce a modified Ishikawa iterative process for approximating a fixed point of two
in nitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and prove
that ... P
C
n
∩Q
n
x
q
,n≥ q
1.3
and prove, {x
n
} converges strongly to a fixed point of {T
1
n
} and {T
2
n
}.
We will use the notation:
for weak convergence and → for strong convergence.
ω
w
x
n
{x ... In nitely
Nonexpansive Mappings in Hilbert Space
Yi-An Chen
College of Mathematics and Statistics, Chongqing Technology and Business University,
Chongqing 400067, China
Correspondence should be...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Satit Saejung" ppt
Ngày tải lên :
21/06/2014, 22:20
... Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for fam-
ilies of nonexpansive mappings in Hilbert spaces, ” Journal of Mathematical Analysis and Applications,
vol. ... recently
proved a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy-
brid method in the mathematical programming. However, their proof of the main result 3,
Theorem ... Takahashi, Strong convergence theorems for nonexpansive mappings and non-
expansive semigroups,” Journal of Mathematical Analysis and Applications, vol. 279, no. 2, pp. 372–379,
2003.
3 H. He and...
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