A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces

被引：0

作者：

Weerayuth Nilsrakoo

机构：

[1] Faculty of Science,Department of Mathematics, Statistics and Computer

[2] Ubon Ratchathani University,undefined

来源：

Fixed Point Theory and Applications | / 2011卷

关键词：

Hilbert Space; Banach Space; Equilibrium Problem; Nonexpansive Mapping; Strong Convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space. Then, we study the strong convergence of the sequences. With an appropriate setting, we obtain the corresponding results due to Takahashi-Takahashi and Takahashi-Zembayashi. Some of our results are established with weaker assumptions.

引用

共 50 条

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