| 不动点问题和广义联立变分不等式问题及混合平衡问题的迭代格式 |
| |
| 引用本文： | 周乐,邓璎函.不动点问题和广义联立变分不等式问题及混合平衡问题的迭代格式[J].西南农业大学学报,2011,33(4). |
| |
| 作者姓名： | 周乐 邓璎函 |
| |
| 作者单位： | 西南大学数学与统计学院;西南财经大学金融学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(11071198); 中央高校基本科研业务费专项资金资助项目(XDJK2010B006); 高等学校博士学科点专项科研基金(20100182120029); 西南大学博士基金(SWUB2008013) |
| |
| 摘 要： | 在Hilbert空间中介绍了1种迭代序列,利用这种序列找出了混合平衡问题的解集和非扩张映射不动点问题的解集以及关于逆强单调的广义联立变分不等式问题解集的公共元.证明了在某些参数控制条件下,迭代序列强收敛于此公共元.
|
| 关 键 词： | 非扩张映射 混合平衡问题 广义联立变分不等式 不动点 |
An Iterative Scheme for Fixed Point Problems,General System of Variational Inequality Problems and Mixed Equilibrium Problems |
| |
| ZHOU Le,DENG Ying-han.School of Mathematics , Statistics,Southwest University,Chongqing ,China,.School of Finance,Southwestern University of Finance , Economics,Chengdu ,Chin.An Iterative Scheme for Fixed Point Problems,General System of Variational Inequality Problems and Mixed Equilibrium Problems[J].Journal of Southwest Agricultural University,2011,33(4). |
| |
| Authors: | ZHOU Le DENG Ying-hanSchool of Mathematics Statistics Southwest University Chongqing China School of Finance Southwestern University of Finance Economics Chengdu Chin |
| |
| Institution: | ZHOU Le1,DENG Ying-han21.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China,2.School of Finance,Southwestern University of Finance and Economics,Chengdu 611130,Chin |
| |
| Abstract: | An iterative sequence is introduced for finding a common element of the set of solutions for an mixed equilibrium problem,the set of fixed points for nonexpansive mapping and the set of solutions for the general system of variational inequalities for inverse-strongly monotone mappings in a Hilbert space.Moreover,the theorem that the iterative sequence converges strongly to the common element under some parameters controlling conditions is proved. |
| |
| Keywords: | nonexpansive mapping mixed equilibrium problem general system of variational inequality fixed point |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《西南农业大学学报》浏览原始摘要信息 |
| 点击此处可从《西南农业大学学报》下载免费的PDF全文 |
