含两类映射的复合迭代算法的强收敛性  

Strong Convergence of the Composite Iterative Algorithm for Two Class Mappings

作　　者：余丽云[1,2] 

机构地区：[1]浙江师范大学数理信息工程学院,浙江金华321004 [2]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2009年第10期6-13,共8页Journal of Shaoxing University

基　　金：浙江省自然科学基金资助项目(Y606717)

摘　　要：通过对通常的Mann迭代算法进行修正,构造了一含有限个严格伪压缩和无限个非扩张映射簇的新迭代算法,证明了该迭代算法强收敛于这有限个严格伪压缩和无限个非扩张映射簇的公共不动点,且该不动点为某变分不等式的解.这些结果本质地推广和改进了近来许多已有的相应结果.The present paper introduces that a new iterative algorithm is constructed for a finite family of strict pseudo - contractions and an infinite family of nonexpansive mappings by modifying the normal Mann＇ s iteration process. A strong convergence theorem for appproximating a common fixed point of the above two sets is obtained and this fixed point is also a solution to the variational inequality. These results extend and improve the recent corresponding findings announced by many other researchers.

关 键 词：严格伪压缩映射 非扩张映射 变分不等式 α-逆强单调 公共不动点 强收敛 

分 类 号：O177.91[理学—数学]