广义混合平衡问题和不动点问题的公共元的混杂算法  

Hybrid Algorithms of Common Elements for Generalized Mixed Equilibrium Problems and Fixed Point Problems

作　　者：朱寿国[1] 

机构地区：[1]南京师范大学泰州学院,江苏泰州225300

出　　处：《成都信息工程学院学报》2011年第4期388-393,共6页Journal of Chengdu University of Information Technology

摘　　要：为了在Banach空间中寻求广义混合平衡问题与有限个依中间意义的渐进非扩张映像族不动点问题的公共元,利用度量投影设计了一种新的混杂算法,证明了此算法生成的序列强收敛于这两个问题的公共元,改进和推广了Dehghan和Kamraksa的主要结果.In order to find common elements for the set of solutions of a generalized mixed equilibrium problem and the set of common fixed points of a finite family of asymptotically nonexpansive mapping in the intermediate sense in a Banach space,A hybrid algorithm is constructed by using metric projection.It is proved that the sequences generated by the algorithm converge strongly to the common elements.The results presented in this paper improve and extend the main results in Dehghan and Kamraksa.

关 键 词：应用数学 非线性分析 混杂算法 广义混合平衡问题 渐进非扩张映像 不动点 

分 类 号：O177.91[理学—数学]