平衡问题和拟?-渐近非扩张映像的强收敛定理  

Strong Convergence Theorems for Equilibrium Problems and Quasi ?-asymptotically Nonexpansive Mappings

作　　者：朱寿国[1] 

机构地区：[1]南京师范大学泰州学院,泰州225300

出　　处：《应用泛函分析学报》2013年第4期367-374,共8页Acta Analysis Functionalis Applicata

基　　金：南京师范大学泰州学院数学分析精品课程项目(141220160314)

摘　　要：在自反、严格凸、光滑的Banach空间中,设计了一种修正的混合投影迭代算法用来构造平衡问题与拟φ渐近非扩张映像的不动点问题的公共元,并利用广义投影算子和K-K性质证明了此迭代算法生成的序列强收敛于这两个问题的公共元.所得结果是近期相关结果的改进和推广.A modified hybrid projection iterative algorithm was introduced for finding a common element of the set of solutions of an equilibrium problem and the set of fixed point of a quasi(?)-asymptotically nonexpansive mappings in a reflexive、strictly convex and smooth Banach space.The strong convergence theorems are proved by using generalized projection operator and the K-K property.The results of this paper improve and extend recent some relative results.

关 键 词：拟φ-渐近非扩张映像 平衡问题 修正的混合投影迭代算法 

分 类 号：O177.91[理学—数学]