Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (3): 426-431.

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A General Projection Method for a System of Relaxed Coercive Variational Inequalities in Hilbert Spaces

  

  1. 1. Department of Mathematics, Anyang Normal University2. Department of Mathematics, Huanghuai University
  • Received:2009-07-07 Online:2009-09-30 Published:2023-06-29
  • About author:YANG Jun(1973- ), male, native of Anyang, Henan, a lecturer of Anyang Normal University, M.S.D., engages in nonlinear PDEs; WU Zhong-lin(1972-), male, native of Zhengzhou, Henan, an associate professor of Huanghuai University, M.S.D., engages in nonlinear PDEs.
  • Supported by:
    Supported by the NSF of Henan Province(092300410150); Supported by the NSF of Department Education of Henan Province(2009C110002); Supported by the Key Teacher Foundation of Huanghuai University;

Abstract: In this paper, we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results include the previous results as special cases extend and improve the main results obtained by many others.

Key words: relaxed coercive nonlinear variational inequality, projection method, relaxed
coercive mapping

CLC Number: