... 2010, Article ID 756492, 22 pages
doi:10.1155/2010/756492
Research Article
Strong Convergence for Mixed Equilibrium
Problems of Infinitely Nonexpansive Mappings
Jintana Joomwong
Division of Mathematics, ... for finding a common element of infinitely nonexpansive
mappings, the set of solutions of a mixed equilibrium problems, and the set of soluti...
... method for a nonexpansive mapping on Hilbert spaces, which is the same as
presented by Takahashi et al. 4.
We will use the following notations:
1 for weak convergence and → for strong convergence;
2 ... Netherlands, 2001.
3 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and
nonexpansive semigroups,” Journal of Mathematica...
... 2009.
3 J. Zhao and S. He, “A new iterative method for equilibrium problems and fixed point problems of
infinitely nonexpansive mappings and monotone mappings, ” Applied Mathematics and Computation,
vol. ... S. Plubtieng and R. Punpaeng, “A new iterative method for equilibrium problems and fixed
point problems of nonexpansive mappings and monotone mappings, ” Ap...
... sufficient to guarantee strong convergence of the sequence in Theorem
XO?
The aim of this paper is to study strong convergence of iterative algorithm 1.6 for
the class of uniformly L-Lipschitzian ... and their strong convergence play an important role in
finding a common element of the set of fixed common fixed point for different classes of
mappings and the set...
... points of nonexpansive mappings, ” Archiv der Mathematik, vol.
58, no. 5, pp. 486–491, 1992.
8 N. Shioji and W. Takahashi, Strong convergence of approximated sequences for nonexpansive
mappings ... Chen, Strong convergence of an iterative method for non-expansive mappings, ”
Mathematische Nachrichten, vol. 281, no. 8, pp. 1196–1204, 2008.
38 S. Wang, “A note on st...
... Applications
Volume 2010, Article ID 301868, 15 pages
doi:10.1155/2010/301868
Research Article
Strong Convergence to Common Fixed
Points for Countable Families of Asymptotically
Nonexpansive Mappings and ... 2.4
3. Strong Convergence for a Family of Asymptotically
Nonexpansive Mappings
Theorem 3.1. Let C be a nonempty bounded closed convex subset of a Hilbert...
... 2010, Article ID 354202, 19 pages
doi:10.1155/2010/354202
Research Article
Strong Convergence Theorems of a New General
Iterative Process with Meir-Keeler Contractions for
a Countable Family of ... Takahashi, Strong convergence theorems for nonexpansive mappings and
nonexpansive semigroups,” Journal of Mathematical Analysis and Applications, vol. 279, no. 2, pp. 3...
... Strong convergence of the iterative scheme based on the
extragradient method for mixed equilibrium problems and fixed point problems of an infinite family
of nonexpansive mappings, ” Nonlinear ... Applications
Volume 2010, Article ID 579725, 21 pages
doi:10.1155/2010/579725
Research Article
Strong Convergence Theorems of Viscosity
Iterative Methods for a Coun...
... 2011, Article ID 392741, 24 pages
doi:10.1155/2011/392741
Research Article
Strong Convergence of a New Iterative Method
for Infinite Family of Generalized Equilibrium and
Fixed-Point Problems of Nonexpansive ... iterative algorithm for finding a common element of the set of solutions of an
infinite family of equilibrium problems and the set of fixed points...
... and Applications
Volume 2010, Article ID 150539, 9 pages
doi:10.1155/2010/150539
Research Article
Strong Convergence Theorems for Strict
Pseudocontractions in Uniformly Convex
Banach Spaces
Liang-Gen ... converges strongly to a fixed
point of T.
Fixed Point Theory and Applications 9
6 M. O. Osilike and Y. Shehu, “Cyclic algorithm for common fixed points of finite family of...