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31.
In this paper, we introduce and study a new hybrid iterative method for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of variational inequalities for a ξ-Lipschitz continuous and relaxed (m,v)-cocoercive mappings in Hilbert spaces. Then, we prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm which solves some optimization problems under some suitable conditions. Our results extend and improve the recent results of Yao et al. [Y. Yao, M.A. Noor, S. Zainab and Y.C. Liou, Mixed equilibrium problems and optimization problems, J. Math. Anal. Appl (2009). doi:10.1016/j.jmaa.2008.12.005] and Gao and Guo [X. Gao and Y. Guo, Strong convergence theorem of a modified iterative algorithm for Mixed equilibrium problems in Hilbert spaces, J. Inequal. Appl. (2008). doi:10.1155/2008/454181] and many others. 相似文献
32.
The purpose of this paper is to investigate the problem of finding the common element of the set of common fixed points of
a countable family of nonexpansivemappings, the set of an equilibrium problem and the set of solutions of the variational
inequality problem for a relaxed cocoercive and Lipschitz continuous mapping in Hilbert spaces. Then, we show that the sequence
converges strongly to a common element of the above three sets under some parameter controlling conditions, which are connected
with Yao, Liou, Yao, Takahashi and many others. 相似文献
33.
In this paper, we introduce an iterative scheme based on a viscosity approximation method with a modified extragradient method
for finding a common solutions of a general system of variational inequalities for two inverse-strongly accretive operator
and solutions of fixed point problems involving the nonexpansive mapping in Banach spaces. Consequently, we obtain new strong
convergence theorems in the frame work of Banach spaces. Our results extend and improve the recent results of Qin et al. (J
Comput Appl Math 233:231–240, 2009) and many others. 相似文献
34.
35.
In this paper, we study the concept of R-weakly commuting of type (A g ) of Pathak et?al. (Bull Korean Math Soc 34:247?C257, 1997) in fuzzy metric spaces. We also establish the existence of common fixed point theorems by using the common limit in the range property and give an example to validate our the main results. 相似文献
36.
In this paper, we introduce a new hybrid iterative scheme for finding a common element of the set of zeroes of a maximal monotone operator, the set of fixed points of a relatively quasi-nonexpansive mapping, the sets of solutions of an equilibrium problem and the variational inequality problem in Banach spaces. As applications, we apply our results to obtain strong convergence theorems for a maximal monotone operator and quasi-nonexpansive mappings in Hilbert spaces and we consider a problem of finding a minimizer of a convex function. 相似文献
37.
We use viscosity approximation methods to obtain strong convergence to common fixed points of monotone mappings and a countable
family of nonexpansive mappings. Let C be a nonempty closed convex subset of a Hilbert space H and P
C
is a metric projection. We consider the iteration process {x
n
} of C defined by x
1 = x ∈ C is arbitrary and
$
x_{n + 1} = \alpha _n f(x_n ) + (1 - \alpha _n )S_n P_C (x_n + \lambda _n Ax_n )
$
x_{n + 1} = \alpha _n f(x_n ) + (1 - \alpha _n )S_n P_C (x_n + \lambda _n Ax_n )
相似文献
38.
In this paper, we introduce a new iterative procedure which is constructed by the shrinking hybrid projection method for solving the common solution of fixed point problems for two total quasi-?-asymptotically nonexpansive multi-valued mappings. Under suitable conditions, the strong convergence theorems are established in a uniformly smooth and strictly convex real Banach space with Kadec-Klee property. Our result improves and extends the corresponding ones announced by some authors. 相似文献
39.
40.
In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a system of mixed equilibrium problems, the set of solutions of a variational inclusion problems for inverse strongly monotone mappings, the set of common fixed points for nonexpansive semigroups and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. Furthermore, we prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm under some suitable conditions which solves some optimization problems. Our results extend and improve the recent results of Chang et al. (Appl Math Comput 216:51–60, 2010), Hao (Appl Math Comput 217(7):3000–3010, 2010), Jaiboon and Kumam (Nonlinear Anal 73:1180–1202, 2010) and many others. 相似文献
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