Predictor-corrector algorithms for solving generalized mixed implicit quasi-equilibrium problems

被引：0
|
作者：
Xie-ping Ding
Yen-cherng Lin
Jen-chih Yao
机构：
[1] Sichuan Normal University,College of Mathematics and Software Science
[2] China Medical University,General Education Center
[3] National Sun Yat-sen University,Department of Applied Mathematics
来源：
Applied Mathematics and Mechanics | 2006年 / 27卷
关键词：
generalized mixed implicit quasi-equilibrium problem; auxiliary variational inequality; predictor-corrector iterative algorithms; partially relaxed implicit strong monotonicity; O177.92; 91B50; 49J45;
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摘要：
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 are 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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页码：1157 / 1164
页数：7
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