| Banach空间中完全广义混合隐似平衡问题的辅助原理和迭代算法 |
| |
| 引用本文： | 余显志,肖光强.Banach空间中完全广义混合隐似平衡问题的辅助原理和迭代算法[J].应用泛函分析学报,2008,10(4):313-323. |
| |
| 作者姓名： | 余显志 肖光强 |
| |
| 作者单位： | 解放军后勤工程学院,基础部,重庆,400016 |
| |
| 摘 要： | 在Banach空间中利用双线性连续泛函F代替内积引进了新的一类完全广义混合隐似平衡问题，引进了F强单调的概念，提出了该平衡问题的广义辅助问题，证明了广义辅助问题的收敛定理，给出了新的算法和由此算法产生的迭代序列的收敛特征．
|
| 关 键 词： | 完全广义混合隐似平衡问题 F强单调 辅助原理 迭代算法 |
Auxiliary Principle and Iterative Algorithms for Completely Generalized Mixed Implicit Equilibrium-Like Problems in Banach Spaces |
| |
| YU Xian-zhi,XIAO Guang-qiang.Auxiliary Principle and Iterative Algorithms for Completely Generalized Mixed Implicit Equilibrium-Like Problems in Banach Spaces[J].Acta Analysis Functionalis Applicata,2008,10(4):313-323. |
| |
| Authors: | YU Xian-zhi XIAO Guang-qiang |
| |
| Institution: | YU Xian-zhi XIAO Guang-qiang Logistical Engineering University of PLA,Chongqing 400016,China |
| |
| Abstract: | A new class of completely generalized mixed implicit equilibrium-like problems (CGMIELP)which do not contain inner product but replaced by a bilinear continuous function F is introduced in Banach space.Then,a concept called F-strongly monotonicity is defined.Next,a generalized auxiliary problem is suggested to study this class of equilibrium problem and the existence theorems of the solution of the generalized auxiliary problem is also proved.Finally,a novel and innovative iterative algorithm is given and the convergence criteria of iterative sequences generated by the algorithm is shown. |
| |
| Keywords: | completely generalized mixed implicit equilibrium-like problem F-strongly monotone auxiliary principle technique iterative algorithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
