中间值意义下拟φ-渐近非扩张映像族的公共不动点的迭代算法

Iteration Algorithm of Common Fixed Points for a Family of Quasi-φ-asymptotically Nonexpansive Mappings in the Intermediate Sense

在自反、严格凸、光滑Banach空间中提出了一种关于中间值意义下的拟φ-渐近非扩张映像族公共不动点的收缩投影算法,并利用新的分析技巧证明了该算法的强收敛性,所得结果改进和推广了近期相关的结果.

A new shrinking projection algorithm for an infinite countable family quasi-φ-asymptotically nonexpansive mappings in the intermediate sense in reflexive is introduced,strictly convex and smooth Banach space,and establish a new strong convergence theorem by using new analysis techniques,which improves and extends some recent relative results.