Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

XU Hai-li; GUO Xing-ming

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(6): 643-650

XU Hai-li, GUO Xing-ming. Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities[J]. Applied Mathematics and Mechanics, 2007, 28(6): 643-650.

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Auxiliary Principle and Three-Step Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2007-03-12
Rev Recd Date: 2007-04-18
Publish Date: 2007-06-15

Abstract

Abstract

The auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended.The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities was proved.A novel and innovative three-step iterative algorithm to compute approximate solution was constructed.And the existence of the solution of the generalized set-valued strongly nonlinear mixed variationa-llike inequality was showed by using the auxiliary principle technique.The convergence of three-step iterative sequences generated by the algorithm was also proved.
- mixed variational-like inequality,
- threeOstep iterative algorithm,
- set-valued mapping,
- auxiliary principle technique

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References

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