Existence and approximation of solutions for system of generalized mixed variational inequalities

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• 作者：Balwant Singh Thakur (1)
  Mohammad Saeed Khan (2)
  Shin Min Kang (3)
  
• 关键词：system of generalized mixed variational inequality ; fixed point problem ; resolvent operator technique ; relaxed cocoercive mapping ; maximal monotone operator ; parallel iterative algorithm
• 刊名：Fixed Point Theory and Applications
• 出版年：2013
• 出版时间：December 2013
• 年：2013
• 卷：2013
• 期：1
• 全文大小：247KB
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• 作者单位：Balwant Singh Thakur (1)
  Mohammad Saeed Khan (2)
  Shin Min Kang (3)
  
  1. School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, 492010, India
  2. Department of Mathematics and Statistics, Sultan Qaboos University, PCode 123 Al-Khod, P.O. Box 36, Muscat, Sultanate of Oman
  3. Department of Mathematics and RINS, Gyeongsang National University, Jinju, 660-701, Korea
  
• ISSN：1687-1812

文摘

The aim of this work is to study a system of generalized mixed variational inequalities, existence and approximation of its solution using the resolvent operator technique. We further propose an algorithm which converges to its solution and common fixed points of two Lipschitzian mappings. Parallel algorithms are used, which can be used to simultaneous computation in multiprocessor computers. The results presented in this work are more general and include many previously known results as special cases. MSC: 47J20, 65K10, 65K15, 90C33.