Ding Xieping. Algorithm of Solutions for Mixed Nonlinear Variational-Like Inequalities in Reflexive Banach Space[J]. Applied Mathematics and Mechanics, 1998, 19(6): 489-496.
Citation: Ding Xieping. Algorithm of Solutions for Mixed Nonlinear Variational-Like Inequalities in Reflexive Banach Space[J]. Applied Mathematics and Mechanics, 1998, 19(6): 489-496.

Algorithm of Solutions for Mixed Nonlinear Variational-Like Inequalities in Reflexive Banach Space

  • Received Date: 1996-09-09
  • Publish Date: 1998-06-15
  • In this paper, the author studies a class of mixed nonlinear variational-like inequalities in reflexive Banach space. By applying a minimax inequalit y obtained by the author, some existence uniqueness theorems of solutions for the mixed nonlinear variational-like inequalities are proved. Next, by applying the auxiliary problem technique, the author suggests an innovative iterative algorithm to compute the approximate solutions of the mixed nonlinear variational-like inequalities. Finally, the convergence criteria is also discussed.
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