Convergence theorems for split equality mixed equilibrium problems with applications

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• 作者：Zhaoli Ma (1)
  Lin Wang (2)
  Shih-sen Chang (2)
  Wen Duan (3)
  
  1. School of Information Engineering ; The College of Arts and Sciences ; Yunnan Normal University ; Long quan Road ; Kunming ; 650222 ; China
  2. College of Statistics and Mathematics ; Yunnan University of Finance and Economics ; Long quan Road ; Kunming ; 650221 ; China
  3. Yaoan Branch ; Chuxiong State Co. ; Yunnan Tobacco Co. ; Chuxiong ; Yunnan ; 675300 ; China
  
• 关键词：47H09 ; 47J25 ; split equality mixed equilibrium problems ; split equality mixed variational inequality problem ; split equality convex minimization problem
• 刊名：Fixed Point Theory and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,194 KB
• 参考文献：1. Takahashi, W (2000) Nonlinear Functional Analysis. Yokohama Publishers, Yokohama
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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, we introduce a new algorithm for solving split equality mixed equilibrium problems in the framework of infinite-dimensional real Hilbert spaces. The strong and weak convergence theorems are obtained. As application, we shall utilize our results to study the split equality mixed variational inequality problem and the split equality convex minimization problem. Our results presented in this paper improve and extend some recent corresponding results.