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关于均衡问题和两族半相对非扩张映射的混合迭代算法的强收敛定理

发表时间:2013-01-15  浏览量:1943  下载量:839
全部作者: 步尚全,蔡钢
作者单位: 清华大学数学科学系
摘 要: 引进一种混合迭代算法,在Banach框架下,找到了关于均衡问题解集和两族半相对非扩张映射的公共不动点集的公共元。具体地,证明了由此混合迭代算法产生的序列强收敛到上面两个解集的公共元。所得结果推广了许多最新结果。
关 键 词: 泛函分析;强收敛定理;混合算法;半非扩张映射;均衡问题
Title: A strong convergence theorem based on a hybrid projection algorithm for equilibrium problems and fixed point problems of two finite families of hemi-relatively nonexpansive mappings
Author: BU Shangquan, CAI Gang
Organization: Department of Mathematical Sciences, Tsinghua University
Abstract: The purpose of this paper is to introduce a hybrid iterative scheme for finding a common element of the equilibrium problem solution set and the common fixed point set of two finite families of hemi-relatively nonexpansive mappings in the framework of Banach spaces. More precisely, we prove that the sequence generated by the hybrid iterative scheme converges strongly to an element of the above two solution sets. Our results improve and extend the recent ones announced by many others.
Key words: functional analysis; convergence theorem; hybrid iterative method; hemi-relatively nonexpansive mapping; equilibrium problem
发表期数: 2013年1月第1期
引用格式: 步尚全,蔡钢. 关于均衡问题和两族半相对非扩张映射的混合迭代算法的强收敛定理[J]. 中国科技论文在线精品论文,2013,6(1):1-7.
 
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