PREDICTOR-CORRECTOR ALGORITHMS FOR SOLVING GENERALIZED MIXED IMPLICIT QUASI-EQUILIBRIUM PROBLEMS  

作　　者：丁协平 林炎诚 姚任之 

机构地区：[1]College of Mathematics and Software Science Sichuan Normal University, Chengdu 610066, P. R. China [2]General Education Center China Medical University,Taichung 404,Taiwan,China [3]Department of Applied Mathematics National Sun Yat-sen University,Kaohsiung 80424,Taiwan,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第9期1157-1164,共8页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Sichuan Educational Commission (No.2003A081)

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 mappingsA 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

关 键 词：generalized mixed implicit quasi-equilibrium problem auxiliary variational inequality predictor-corrector iterative algorithms partially relaxed implicit strong monotonicity 

分 类 号：O177.92[理学—数学]