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  • 标题:Hybrid iterative algorithm of asymptotically nonexpansive mappings for equilibrium problems
  • 本地全文:下载
  • 作者:Shanshan Yang ; Jingxin Zhang
  • 期刊名称:International Journal of Hybrid Information Technology
  • 印刷版ISSN:1738-9968
  • 出版年度:2014
  • 卷号:7
  • 期号:3
  • 页码:303-310
  • DOI:10.14257/ijhit.2014.7.3.28
  • 出版社:SERSC
  • 摘要:Optimization problems, variational inequalities, minimax problems can be formulated as equilibrium problems. The iterative algorithms of fixed points are often applied to finding the solution of equilibrium problems. In this paper, we introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of asymptotically nonexpansive mappings and the set of solutions of an equilibrium problem in Hilbert spaces. Besides, an example of variational inequality problem is given to illustrate the efficiency and performance of the newly algorithm.
  • 关键词:Equilibrium problem; Hybrid algorithm; Strong convergence; Asymptotically ; nonexpansive mapping
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