Convergence theorems for common solutions of various problems with nonlinear mapping

被引：0
|
作者：
Kyung Soo Kim
Jong Kyu Kim
Won Hee Lim
机构：
[1] Kyungnam University,Graduate School of Education, Mathematics Education
[2] Kyungnam University,Department of Mathematics Education
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
common fixed point; generalized mixed equilibrium problem; generalized projection; hemi-relatively nonexpansive; variational inequality problem;
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摘要：
In this paper, motivated and inspired by Zegeye and Shahzad (Nonlinear Anal. 70:2707-2716, 2009), Qin et al. (J. Comput. Appl. Math. 225(1):20-30, 2009) and Kimura and Takahashi (J. Math. Anal. Appl. 357:356-363, 2009), we introduce a new hybrid projection iterative scheme that converges strongly to a common element of the solution set of a generalized mixed equilibrium problem, the solution set of a variational inequality problem, and the set of common fixed points for a family of hemi-relatively nonexpansive mappings in a Banach space.
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