一致凸空间中的多重分裂可行性问题

The Split Feasibility Problem with Multiple Output Sets in Uniformly Convex Banach Spaces

本文在一致凸Banach空间中研究了多重分裂可行性问题.通过将其转化为不动点问题,我们分别构造了并行与循环两种类型的迭代方法以求解此问题,并在较弱的几何条件下证明了它们的强收敛性.

We study the split feasibility problem with multiple output sets in uni-formly convex Banach spaces.By transforming it into a fixed point problem,we con-struct parallel and cyclic iterative methods to solve the problem respectively,and prove their strong convergence under weak geometric conditions.