Banach空间中分层不动点的黏性连续型广义逼近格式的收敛性  

The convergence for a generalized viscosity implicit iteration to approximate a hierarchical fixed point of nonexpansive mappings in Banach spaces

作　　者：王元恒[1] 谢飞[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2016年第3期246-252,共7页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11271330);浙江省自然科学基金资助项目(LY14A010011)

摘　　要：主要在更广泛的自反Banach空间中给出一种求非扩张映像T的分层不动点的新的黏性隐形连续型广义逼近迭代算法,并在一定条件下证明了这种迭代程序强收敛于T的一个分层不动点,同时此点也是一个在优化理论中有着重要应用的广义变分不等式的解.其结果推广和改进了一些近代已有的结果.A generalized viscosity implicit continuous iterative method was introduced to approximate a hierar- chical fixed point of nonexpansive mappings, which was also a solution of a variational inequality in Banach spaces. Under certain approximate assumptions of the operators and coefficients, the strong convergence for the generalized iteration was obtained by some certain techniques in Bananch spaces. The results extended and improved many recent results announced by other authors.

关 键 词：非扩张映像 变分不等式解 分层不动点 黏性逼近 强收敛性 

分 类 号：O177.91[理学—数学]