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求解多值广义混合隐似平衡问题的迭代算法

万波 江晓涛

四川师范大学学报(自然科学版)2011,Vol.34Issue(2):197-200,4.
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

万波 1江晓涛1

作者信息

  • 1. 重庆工商大学,数学与统计学院,重庆,400067
  • 折叠

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)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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