广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元的强收敛定理  

Strong convergence theorems of an iterative method for a generalized equilibrium problem,a maximal monotone operator and total quasi-Φ-asymptotically nonexpansive semigroups

作　　者：吴燕林 

机构地区：[1]阳光学院基础部,福建福州350015

出　　处：《福州大学学报（自然科学版）》2015年第6期733-737,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(2014J01008)

摘　　要：针对广义均衡问题、极大单调算子和全局拟-Φ-渐近非扩张半群的公共元,提出一个新的迭代算法,在适当的条件下,证明了由此迭代算法生成的序列的强收敛定理.We propose an iterative scheme for finding a common element of the solutions of a generalized equilibrium problem,a maximal monotone operator and total quasi-Φ- asymptotically nonexpansive semigroups. Under some appropriate conditions,we establish some strong convergence theorems of the sequences generated by our proposed scheme.

关 键 词：极大单调算子 全局拟-Φ-渐近非扩张半群 广义均衡问题 公共不动点 

分 类 号：O122.3[理学—数学]