A new method for split common fixed-point problem without priori knowledge of operator norms

作者：Wang, Fenghui^*

来源：Journal of Fixed Point Theory and Applications, 2017, 19(4): 2427-2436.

DOI：10.1007/s11784-017-0434-0

• Split common fixed-point problem
• projection
• variable step-size
• strong convergence

The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a linear transformation belongs to another fixed-point set. In this paper, we propose a new algorithm for the split common fixed-point problem that does not need any priori information of the operator norm. Under standard assumptions, we establish a weak convergence theorem of the proposed algorithm.

• 出版日期2017-12
• 单位洛阳师范学院