Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings

详细信息    查看全文

• 作者：Dang Van Hieu ; Le Dung Muu ; Pham Ky Anh
• 刊名：Numerical Algorithms
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：73
• 期：1
• 页码：197-217
• 全文大小：329 KB
• 刊物类别：Computer Science
• 刊物主题：Numeric Computing
  Algorithms
  Mathematics
  Algebra
  Theory of Computation
  
• 出版者：Springer U.S.
• ISSN：1572-9265
• 卷排序：73

文摘

In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real Hilbert space. Based on parallel computation we can reduce the overall computational effort under widely used conditions on the bifunctions and the nonexpansive mappings. A simple numerical example is given to illustrate the proposed parallel algorithms.KeywordsEquilibrium problemPseudomonotone bifunctionLipschitz-type continuityNonexpansive mappingHybrid methodParallel computation