1 |
H. Zhou and Y. Su, Strong convergence theorems for a family of quasi-asymptotic pseudo-contractions in Hilbert spaces, Nonlinear Anal. 70 (2009), no. 11, 4047-4052.
DOI
ScienceOn
|
2 |
K. Nakajo, K. Shimoji, and W. Takahashi, Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces, Taiwanese J. Math. 10 (2006), no. 2, 339-360.
DOI
|
3 |
K. Nakajo, K. Shimoji, and W. Takahashi, On strong convergence by the hybrid method for families of mappings in Hilbert spaces, Nonlinear Anal. 71 (2009), no. 1-2, 112-119.
DOI
ScienceOn
|
4 |
K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003), no. 2, 372-379.
DOI
ScienceOn
|
5 |
W. Nilsrakoo and S. Seajung, Weak and strong convergence theorems for countable Lipschitzian mappings and its applications, Nonlinear Anal. 69 (2008), no. 8, 2695-2708.
DOI
ScienceOn
|
6 |
W. Nilsrakoo and S. Seajung, Strong convergence theorems for a countable family of quasi-Lipschitzian mappings and its applications, J. Math. Anal. Appl. 356 (2009), no. 1, 154-167.
DOI
ScienceOn
|
7 |
J.W. Peng, Y. C. Liou, and J. C. Yao, An iterative algorithm combining viscosity method with parallel method for a generalized equilibrium problem and strict pseudocontractions, Fixed Point Theory Appl. 2009 (2009), Article ID 794178, 21 pages.
DOI
ScienceOn
|
8 |
S. Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl. 67 (1979), no. 2, 274-276.
DOI
|
9 |
D. R. Sahu, H. K. Xu, and J. C. Yao, Asymptotically strict pseudocontractive mappings in the intermediate sense, Nonlinear Anal. 70 (2009), no. 10, 3502-3511.
DOI
ScienceOn
|
10 |
N. Shahzad and H. Zegeye, Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps, Appl. Math. Comput. 189 (2007), no. 2, 1058-1065.
DOI
ScienceOn
|
11 |
W. Cholamjiak and S. Suantai, Monotone hybrid projection algorithms for an infinitely countable family of Lipschitz generalized asymptotically quasi-nonexpansive mappings, Abstr. Appl. Anal. 2009 (2009), Article ID 297565, 16 pages.
|
12 |
Y. J. Cho, X. Qin, and J. I. Kang, Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems, Nonlinear Anal. 71 (2009), no. 9, 4203-4214.
DOI
ScienceOn
|
13 |
P. Cholamjiak, A hybrid iterative scheme for equilibrium problems, variational inequality problems and fixed point problems in Banach spaces, Fixed Point Theory Appl. 2009 (2009), Article ID 719360, 18 pages.
DOI
ScienceOn
|
14 |
P. Cholamjiak and S. Suantai, A new hybrid algorithm for variational inclusions, generalized equilibrium problems and a finite family of quasi-nonexpansive mappings, Fixed Point Theory Appl. 2009 (2009), Article ID 350979, 20 pages.
DOI
ScienceOn
|
15 |
T. H. Kim and H. K. Xu, Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006), no. 5, 1140-1152.
DOI
ScienceOn
|
16 |
P. L. Combettes and S. A. Hirstoaga, Equilibrium programming in Hilbert spaces, J. Nonlinear Convex Anal. 6 (2005), no. 1, 117-136.
|
17 |
A. Genel and J. Lindenstrauss, An example concerning fixed points, Israel J. Math. 22 (1975), no. 1, 81-86.
DOI
ScienceOn
|
18 |
A. Kangtunyakarn and S. Suantai, Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings, Nonlinear Anal. Hybrid Syst. 3 (2009), no. 3, 296-309.
DOI
ScienceOn
|
19 |
W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.
DOI
ScienceOn
|
20 |
G. Marino and H. K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), no. 1, 336-346.
DOI
ScienceOn
|
21 |
C. Martinez-Yanes and H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006), no. 11, 2400-2411.
DOI
ScienceOn
|
22 |
K. Shimoji and W. Takahashi, Strong convergence to common fixed points of infinite nonexpansive mappings and application, Taiwanese J. Math. 5 (2001), no. 2, 387-404.
DOI
|
23 |
A. Tada and W. Takahashi, Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem, J. Optim. Theory Appl. 133 (2007), no. 3, 359-370.
DOI
|
24 |
W. Takahashi, Weak and strong convergence theorems for families of nonexpansive mappings and their applications, Ann. Univ. Mariae Curie-Sklodowska Sect. A 51 (1997), no. 2, 277-292.
|
25 |
W. Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces, J. Math. Anal. Appl. 341 (2008), no. 1, 276-286.
DOI
ScienceOn
|
26 |
H. K. Xu, Inequality in Banach spaces with applications, Nonlinear Anal. 16 (1991), no. 12, 1127-1138.
DOI
ScienceOn
|
27 |
Y. Yao, Y. J. Cho, and Y. Liou, Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems, European J. Oper. Res. 212 (2011), no. 2, 242-250.
DOI
ScienceOn
|
28 |
H. Zhou, Strong convergence theorems for a family of Lipschitz quasi pseudo-contractions in Hilbert spaces, Nonlinear Anal. 71 (2009), no. 1-2, 120-125.
DOI
ScienceOn
|
29 |
E. Blum and W. Oettli, From optimization and variational inequalities to equilibrium problems, Math. Student 63 (1994), no. 1-4, 123-145.
|
30 |
H. H. Bauschke, E. Matouskova, and S. Reich, Projection and proximal point methods: convergence results and counterexamples, Nonlinear Anal. 56 (2004), no. 5, 715-738.
DOI
ScienceOn
|
31 |
L. C. Ceng and J. C. Yao, A hybrid iterative scheme for mixed equilibrium problems and fixed point problems, J. Comput. Appl. Math. 214 (2008), no. 1, 186-201.
DOI
ScienceOn
|
32 |
J. W. Chen, Y. J. Cho, and Z. Wan, Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space, Fixed Point Theory Appl. 2011 (2011), 11 pages.
DOI
|