Convergence of splitting algorithms for the sum of two accretive operators with applications

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• 作者：Xiaolong Qin (11)
  Sun Young Cho (12)
  Lin Wang (13)
  
  11. Department of Mathematics ; Hangzhou Normal University ; Hangzhou ; China
  12. Department of Mathematics ; Gyeongsang National University ; Jinju ; Korea
  13. College of Statistics and Mathematics ; Yunnan University of Finance and Economics ; Kunming ; China
  
• 关键词：accretive operator ; fixed point ; nonexpansive mapping ; resolvent ; 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：321 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

We study a splitting algorithm for problems involving the sum of two accretive operators. We prove the strong convergence of the algorithm. Applications to variational inequality, fixed point, equilibrium, and minimization problems are provided.