摘要
建立一个修正的粘性迭代算法,以此来寻求两个广义均衡组的公共解和一组非扩张映射公共不动点集的共同元.获得了在给定的条件下基于Hilbert空间中的强收敛定理.扩展和改进了在此问题上许多作者的相关研究成果.
In this paper, we introduce a general iterative scheme tbr finding a common element ot the set of common solutions of generalized equilibrium problems, the set of solutions of a variational ine-quality and the set of fixed points of nonexpansive mappings in a real Hilbert space. Strong conver-gence theorems are established in a real Hilbert space under suitable conditions. Then, we prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm which solves some optimization problems under some suitable conditions. Our results presented im-prove and extend the corresponding results of many others.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第2期167-172,共6页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省教育厅科研资助项目(JA11294)
关键词
广义均衡问题
变分不等式
不动点
非扩张映射
逆强单调映射
强正有界线性算子
equilibrium problem
variational inequality
fixed point
nonexpansive mapping
inverse-strongly monotone mapping
strong positive bounded linear operator
