首页    期刊浏览 2025年02月19日 星期三
登录注册

文章基本信息

  • 标题:Generalized Systems of Variational Inequalities and Projection Methods for Inverse-Strongly Monotone Mappings
  • 本地全文:下载
  • 作者:Wiyada Kumam ; Prapairat Junlouchai ; Poom Kumam
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2011
  • 卷号:2011
  • DOI:10.1155/2011/976505
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We introduce an iterative sequence for finding a common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for three inverse-strongly monotone mappings. Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained. Moreover, using the above theorem, we also apply to find solutions of a general system of variational inequality and a zero of a maximal monotone operator in a real Hilbert space. As applications, at the end of the paper we utilize our results to study some convergence problem for strictly pseudocontractive mappings. Our results include the previous results as special cases extend and improve the results of Ceng et al., (2008) and many others.
国家哲学社会科学文献中心版权所有