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

Ding Xieping

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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.

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.

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

Ding Xieping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China

Received Date: 1996-09-09
Publish Date: 1998-06-15

Abstract

Abstract

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.
- mixed nonlinear variational-like inequality,
- minimax inequality,
- auxiliary variational inequality,
- general algorithm,
- reflexive Banach space

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References(16)

References

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