New ergodic convergence theorems for non-expansive mappings and m-accretive mappings

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• 作者：Li Wei ; Yuchen Ba ; Ravi P Agarwal
• 关键词：47H05 ; 47H09 ; 47H10 ; m ; accretive mapping ; non ; expansive mapping ; contraction ; retraction ; ergodic convergence ; smooth Banach space
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,806 KB
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• 作者单位：Li Wei (1)
  Yuchen Ba (2)
  Ravi P Agarwal (3) (4)
  
  1. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, China
  2. College of Humanities and Development Studies, China Agricultural University, Beijing, 100083, China
  3. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, 78363, USA
  4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

Two new ergodic convergence theorems for approximating the common element of the set of zero points of an m-accretive mapping and the set of fixed points of an infinite family of non-expansive mappings in a real smooth and uniformly convex Banach space are obtained, which improves some of the previous work. The computational experiments to demonstrate the effectiveness of the proposed iterative algorithms in this paper are conducted. Keywords m-accretive mapping non-expansive mapping contraction retraction ergodic convergence smooth Banach space