摘要
使用混合投影方法,引入一种新的迭代算法,在Hilbert空间中寻找均衡问题的解集和渐进非扩张映射的不动点集的公共点.在一定条件下,得出了弱收敛和强收敛定理.
We introduce an new iterative scheme by using the hybrid projection methods for finding a common element of the set of solutions of an equilibrium problems and the set of fixed points of an asymptotically nonexpansive mapping in Hilbert spaces. Under some conditions,weakly and strongly convergence theorem are obtained in Hilbert spaces.
作者
沈金良
黄建华
SHEN Jinhang HUANG Jianhua(Zhicheng College, Fuzhou University, Fuzhou, Fujian 350002, China College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China)
出处
《福州大学学报（自然科学版）》
CAS
北大核心
2016年第5期621-626,共6页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(2014J01008)
福建省中青年教师教育科研资助项目(JA15624)
关键词
均衡问题
不动点问题
混合迭代
渐进非扩张映射
HILBERT空间
equilibrium problems
fixed point problems
hybrid iteration
asymptotically nonexpansive mappings
Hilbert space
