Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems

DING Xie-ping; LIN Yen-cherng; YAO Jen-chih

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(9): 1009-1016

DING Xie-ping, LIN Yen-cherng, YAO Jen-chih. Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1009-1016.

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Predictor-Corrector Algorithms for Solving Generalized Mixed Implicit Quasi-Equilibrium Problems

1.
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China;

Received Date: 2005-07-12
Rev Recd Date: 2006-06-06
Publish Date: 2006-09-15

Abstract

Abstract

A new class of generalized mixed implicit quasi-equilibrium problems (GMIQEP) with four-functions is introduced and studied. The new class of equilibrium problems includes many known generalized equilibrium problems and generalized mixed implicit quasi-variational inequality problems as many special cases. By employing the auxiliary principle technique, some predictor-corrector iterative algorithms for solving the GMIQEP were suggested and analyzed. The convergence of the suggested algorithm only requires the continuity and the partially relaxed implicit strong monotonicity of the mappings.

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References

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