Iterative algorithms approach to a general system of nonlinear variational inequalities with perturbed mappings and fixed point problems for nonexpansive semigroups

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• 作者：Pongsakorn Sunthrayuth (1)
  Poom Kumam (1)
  
• 关键词：one ; parameter nonexpansive semigroup ; perturbed mapping ; iterative algorithm ; variational inequality ; strong convergence ; Banach space ; common fixed points
• 刊名：Journal of Inequalities and Applications
• 出版年：2012
• 出版时间：December 2012
• 年：2012
• 卷：2012
• 期：1
• 全文大小：356KB
• 参考文献：1. Kinderlehrer D, Stampacchia G: / An Introduction to Variational Inequalities and their Applications. Academic Press Inc., New York; 1980.
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• 作者单位：Pongsakorn Sunthrayuth (1)
  Poom Kumam (1)
  
  1. Department of Mathematics, Faculty of Science, King Mongkut鈥檚 University of Technology Thonburi (KMUTT), Bangmod, Bangkok, 10140, Thailand
  
• ISSN：1029-242X

文摘

In this paper, we introduce new iterative algorithms for finding a common element of the set of solutions of a general system of nonlinear variational inequalities with perturbed mappings and the set of common fixed points of a one-parameter nonexpansive semigroup in Banach spaces. Furthermore, we prove the strong convergence theorems of the sequence generated by these iterative algorithms under some suitable conditions. The results obtained in this paper extend the recent ones announced by many others. Mathematics Subject Classification (2010): 47H09, 47J05, 47J25, 49J40, 65J15