An algorithm with strong convergence for the split common fixed point problem of total asymptotically strict pseudocontraction mappings

Journal of inequalities and applications

Zhaoli Ma¹ 

关键词: split common fixed point problem;    split feasibility problem;    total asymptotically strict pseudocontraction mapping;    Hilbert space;    47H09;    47J25;   

DOI  :  10.1186/s13660-015-0562-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this paper is to propose an algorithm to solve the split common fixed point problems for total asymptotically strict pseudocontraction mappings in Hilbert spaces. Without the assumption of semi-compactness on the mappings, the iterative scheme is shown to converge strongly to a split common fixed point of such mappings. The results presented in the paper improve and extend some recent corresponding results.

【 授权许可】

CC BY