Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems
Yonghong Yao ; Yeol Cho ; Yeong-Cheng Liou
Open Mathematics, Tome 9 (2011), p. 640-656 / Harvested from The Polish Digital Mathematics Library

In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:269200
@article{bwmeta1.element.doi-10_2478_s11533-011-0021-3,
     author = {Yonghong Yao and Yeol Cho and Yeong-Cheng Liou},
     title = {Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems},
     journal = {Open Mathematics},
     volume = {9},
     year = {2011},
     pages = {640-656},
     zbl = {1234.49008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0021-3}
}
Yonghong Yao; Yeol Cho; Yeong-Cheng Liou. Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems. Open Mathematics, Tome 9 (2011) pp. 640-656. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0021-3/

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