非自射非扩张映象迭代算法的强收敛性(英文)

Strong Convergence of Iteration with Nonself Nonexpansive Mappings

在严格凸的自反巴拿赫空间中引进并研究了涉及无穷多个非自射非扩张映象的迭代算法,得到了新的强收敛性结果,并将其运用到Cesàro均值迭代过程中,又获得了一些强收敛性结果.

An iteration with infinitely many non-self nonexpansive mappings is introduced in a reflexive and strictly convex Banach space.A new strong convergence theorem is given.Moreover,it is applied to Cesàro mean iterations,and some convergence results are obtained.