Strong convergence of a Halpern-type algorithm for common solutions of fixed point and equilibrium problems

详细信息   

• 作者：Qingnian Zhang (8) 8. School of Mathematics and Information Science ; North China University of Water Resources and Electric Power ; Zhengzhou ; Henan ; 450011 ; China
• 关键词：nonexpansive mapping ; equilibrium problem ; fixed point ; variational inequality
• 刊名：Journal of Inequalities and Applications
• 年：2014
• 出版者：Springer International Publishing
• 期：1
• DOI：10.1186/1029-242X-2014-313
• 来源：SpringerLink
• 类型：期刊

摘要

In this article, fixed points of nonexpansive mappings and equilibrium problems based on a Halpern-type algorithm are investigated. Strong convergence theorems for common solutions of the two problems are obtained in the framework of real Hilbert spaces.