East Asian mathematical journal

  • 제28권5호
  • /
  • Pages.561-567
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  • 2012
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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GENERALIZED SYSTEM FOR RELAXED COCOERCIVE EXTENDED GENERAL VARIATIONAL INEQUALITIES

  • Jun-Min, Chen (College of Mathematics and Computer, Hebei University) ;
  • Hui, Tong (College of Mathematics and Computer, Hebei University)
  • 투고 : 2012.03.19
  • 심사 : 2012.08.05
  • 발행 : 2012.11.30
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초록

The approximate solvability of a generalized system for relaxed cocoercive extended general variational inequalities is studied by using the project operator technique. The results presented in this paper are more general and include many previously known results as special cases.

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참고문헌

  1. Muhammad. Aslam Noor, Extended general variational inequalities, Appl. Math. Lett. 22 (2009), 182-186. https://doi.org/10.1016/j.aml.2008.03.007
  2. Muhammad. Aslam Noor and Khalida Inayat Noor, Projection algorithms for solving a system of general variational inequalities, Nonlinear Analysis 70 (2009), 2700-2706. https://doi.org/10.1016/j.na.2008.03.057
  3. R. U. Verma, Generalized system for relaxed ccoercive variational inequalities and projection methods, J. Optim. Theory Appl. 121 (2004), 203-210. https://doi.org/10.1023/B:JOTA.0000026271.19947.05
  4. S. S. Chang, H. W. Joseph Lee and C. K. Chan, General system for relaxed cocoercive variational inequalities in Hilbert spaces, Applied Mathematics Letters 20 (2007), 329-334. https://doi.org/10.1016/j.aml.2006.04.017
  5. Zhenyu Huang and M. Asalm Noor, An explicit projection method for s system of non- linear variational inequalities with different(${\gamma}$, r)-cocoercive mappings, Applied Mathematics and Computation 190 (2007), 356-361. https://doi.org/10.1016/j.amc.2007.01.032