四川师范大学学报(自然科学版)2011,Vol.34Issue(2):197-200,4.DOI:10.3969/j.issn.1001-8395.2011.02.012
求解多值广义混合隐似平衡问题的迭代算法
Iterative Algorithm for Solving Multivalued Generalized Mixed Implicit Quasi-Equilibrium Problems
摘要
Abstract
A new class of multivalued generalized mixed implicit quasi-equilibrium problems are introduced and studied.The class includes many known generalized mixed implicit quasi-variational inequality problems and generalized equilibrium problems as many special cases.For solving these problems, a new definition of partially relaxed N-g-jointly pseudomonotonicity is introduced and a new predictor-corrector iterative algorithm is suggested and analyzed by using the auxiliary principle technique.The convergence of the suggested algorithm only requires the continuity and the partially relaxed N-g-jointly pseudomonotonicity of the mappings.关键词
多值广义混合隐似平衡问题/局部松弛N-g-联合伪单调/预测校正迭代算法Key words
multivalued generalized mixed implicit quasi-equilibrium problems/ partially relaxed N-g-jointly pseudomonotonicity/predictor-corrector iterative algorithm分类
数理科学引用本文复制引用
万波,江晓涛..求解多值广义混合隐似平衡问题的迭代算法[J].四川师范大学学报(自然科学版),2011,34(2):197-200,4.基金项目
重庆市科委自然科学基金(CSTC2009BB3372)资助项目 (CSTC2009BB3372)