完备凸度量空间中广义渐近拟非扩张映象的迭代模式

Strong convergence of iterative sequence for nonself generalized asymptotically quasi- nonexpansive mappings in complete convex metric space

在实凸度量空间中引入广义渐近拟非扩张映射,研究了在广义渐近拟非扩张映射下的带误差的Ishikawa型迭代序列.在适当的条件下,利用非负实序列不等式获得此迭代序列强收敛到渐近拟非扩张映射的一个公共不动点.

The asymptotically quasi- nonexpansive mappings were generalized in a real uniformly convex Banach space. Under certain conditions,the Ishikawa- type iteration sequence with errors mapping was studied for asymptotically quasi- nonexpansive mappings,and the result was proved that the iteration sequence strongly converges to a common fixed point for asymptotically quasi- nonexpansive mappings by a inequality of nonnegative real sequences.