均衡问题与无限族k-严格伪压缩映象的公共不动点的迭代逼近  

The Iterative Approximation Method for Equilibrium Problems and Common Fixed Points of the unlimited group k-Strict Pseudocontractive Mappings

作　　者：周光亚[1] 

机构地区：[1]四川工程职业技术学院基础部,四川德阳618000

出　　处：《西安文理学院学报（自然科学版）》2016年第4期1-5,共5页Journal of Xi’an University(Natural Science Edition)

基　　金：西安市科技计划项目(CXY1134WL05)

摘　　要：在Hilbert空间中,引入一种新的的迭代方法,通过该迭代方法求得广义混合均衡问题的解集与无限族k-严格伪压缩映象公共不动点集的公共解.并在适当的条件下,得到强收敛定理.An new iterative approximation method was defined in Hilbert space. Based on this method, the common solution was acquired simultaneously for the solution set of the equilibrium problems and fixed points of the unlimited group k-strict pseudocontractive mappings. The convergence theorem was obtained with the appropriate parameter restrictions.

关 键 词：广义混合均衡问题 不动点 k-严格伪压缩映象 HILBERT空间 

分 类 号：O177[理学—数学]