Iterative algorithms for quasi-variational inclusions and fixed point problems of pseudocontractions

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• 作者：Yonghong Yao (1)
  Ravi P Agarwal (2) (3)
  Yeong-Cheng Liou (4) (5)
  
  1. Department of Mathematics ; Tianjin Polytechnic University ; Tianjin ; 300387 ; China
  2. Department of Mathematics ; Texas A&M University ; Kingsville ; USA
  3. Nonlinear Analysis and Applied Mathematics Research Group (NAAM) ; King Abdulaziz University ; P.O. Box 80203 ; Jeddah ; 21589 ; Saudi Arabia
  4. Department of Information Management ; Cheng Shiu University ; Kaohsiung ; 833 ; Taiwan
  5. Center for General Education ; Kaohsiung Medical University ; Kaohsiung ; 807 ; Taiwan
  
• 关键词：quasi ; variational inclusions ; fixed point problem ; pseudocontractions ; maximal monotone ; firmly nonexpansive mappings
• 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：282 KB
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  23. Zhou, H (2009) Strong convergence of an explicit iterative algorithm for continuous pseudo-contractions in Banach spaces. Nonlinear Anal 70: pp. 4039-4046 CrossRef
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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, quasi-variational inclusions and fixed point problems of pseudocontractions are considered. An iterative algorithm is presented. A strong convergence theorem is demonstrated. MSC: 49J40, 47J20, 47H09, 65J15.