惯性混合投影法求解分裂公共不动点问题

Inertial Hybrid Projection Method for Solving Split Common Fixed Point Problem

本文主要在Hilbert空间中研究一个求解关于多值半压缩映射的分裂公共不动点问题的修正算法,在适当的条件下,我们运用惯性和混合投影技术证明了该算法的强收敛性.最后给出本算法的相关应用及数值实验说明算法的有效性.本文结果改进和推广了已有文献的相关结果.

We introduce a modified iterative algorithm for solving the split common fixed point problem for multi-valued demicontractive mapping in real Hilbert spaces.Under very mild conditions,we prove a strong convergence theorem for our algorithm by using inertial and hybrid projection technique.Further,we give the application and example of the algorithm to illustrate the effectiveness of the algorithm.Our result improves and extends the corresponding ones announced by some others in the earlier and recent literature.