Convergence of an iterative method for relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces

被引：0
作者：
S. Homaeipour
A. Razani
机构：
[1] Imam Khomeini International University,Department of Mathematics, Faculty of Science
来源：
Optimization Letters | 2014年 / 8卷
关键词：
Multi-valued mapping; Relatively nonexpansive; Fixed point; Iterative sequence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, an iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of two relatively nonexpansive multi-valued mappings is introduced. This iterative scheme can be viewed as a multi-valued version of the corresponding one introduced by Zhang et al. (Comput Math Appl 61, 262–276, 2011) for two relatively nonexpansive multi-valued mappings. Finally, strong convergence of this sequence is studied in Banach spaces.
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页码：211 / 225
页数：14
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