渐近拟―非扩张映射的分裂公共不动点问题

The Split Common Fixed-Point Problem for Asymptotically Quasi-Nonexpansive Mapping

设H1,H2是两个实的希尔伯特空间,S:H1→H1和T:H2→H2是两个渐近拟―非扩张映射,在一定条件下,证明了由(5)式定义的迭代序列弱收敛于它们的分裂公共不动点.得到的结果推广和改进了Moudafi(文献[6])的主要结果.

Hypothesis H1,H2 are two real Hilbert space,S：H1→H1 and T：H2→H2 are two asymptotically quasi-nonexpansive mappings.Under certain conditions,we demonstrated that iterative process by（5） weakly converges to split common fixed-point of S and T.The result presented in the paper improve and extend some recent results of Moudafi（references[6]）.