广义混合均衡与不动点问题公共解的迭代算法  

An Iterative Algorithm for the Common Solution to the Problems of Generalized Mixed Equilibrium and Fixed Point

作　　者：胡洪萍[1] 王琳琳[1] 

机构地区：[1]西安文理学院数学与计算机工程学院

出　　处：《西安工业大学学报》2014年第7期526-532,共7页Journal of Xi’an Technological University

基　　金：西安市科技计划项目(CXY1134WL05)

摘　　要：在Hilbert空间中,引入一种新的关于广义混合均衡问题的迭代方法,通过该迭代方法求得广义混合均衡问题的解集与非扩张映像的不动点集的公共解.并且在一定条件下,得到强收敛定理.所得结果改进和推广了这一领域内某些最新结果.An iterative algorithm for solving the generalized mixed equilibrium problems was proposed in the Hilbert space ,and then was used to obtain the common solution to the generalized mixed equilibrium and fixed point problems .In addition ,the strong convergence theorem was derived under certain conditions .Those obtained results have improved and spred the latest work in this field .

关 键 词：广义混合均衡问题 不动点 混合迭代 非扩张映射 HILBERT 空间 

分 类 号：O177.91[理学—数学]