广义混合平衡问题和一族拟-φ-渐近非扩张映象不动点问题的强收敛定理  

Strong Convergence Theorem for a Generalized Mixed Equilibrium Problem and a Family of Quasi-φ-asymptotically Nonexpansive Mappings

作　　者：唐金芳[1] 

机构地区：[1]宜宾学院数学系,宜宾644000

出　　处：《应用数学学报》2010年第5期878-888,共11页Acta Mathematicae Applicatae Sinica

摘　　要：本文在Banach空间中讨论了一种混合投影迭代算法,借以寻求广义混合平衡问题和一族拟-φ-渐近非扩张映象的不动点集的公共元,证明了此迭代序列的强收敛定理.文中所得到的结果,推广并改进了最近一些人所发布的新结果.A hybrid iterative method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of a family of quasi-φ-asymptotically nonexpansive mappings in a Banach space is induced.Under suitable conditions the strong convergence theorems are proved.The results presented in the paper extend and improve the corresponding results announced by many others.

关 键 词：广义混合平衡问题 拟-φ-渐近非扩张映象 混合投影迭代算法 不动点问题 

分 类 号：O177.5[理学—数学]