A regularization method for treating zero points of the sum of two monotone operators

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• 作者：Xiaolong Qin (9)
  Sun Young Cho (10)
  Lin Wang (11)
  
  9. Department of Mathematics ; Hangzhou Normal University ; Hangzhou ; 310036 ; China
  10. Department of Mathematics ; Gyeongsang National University ; Jinju ; 6660-701 ; Korea
  11. College of Statistics and Mathematics ; Yunnan University of Finance and Economics ; Kunming ; 650221 ; China
  
• 关键词：maximal monotone operator ; fixed point ; nonexpansive mapping ; proximal point algorithm ; zero point
• 刊名：Fixed Point Theory and Applications
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：188 KB
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• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

In this paper, a regularization method for treating zero points of the sum of two monotone operators is investigated. Strong convergence theorems are established in the framework of Hilbert spaces.