Viscosity Methods and Split Common Fixed Point Problems for Demicontractive Mappings

Mathematics

Tae-Hwa Kim¹  Xiaoli Fang²  Yaqin Wang² 

[1] Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Korea;Department of Mathematics, Shaoxing University, Shaoxing 312000, China;

关键词: split common fixed-point problem;    strong convergence;    demicontractive mapping;    viscosity method;   

DOI  :  10.3390/math7090844

来源: DOAJ

【 摘 要 】

We, first, propose a new method for solving split common fixed point problems for demicontractive mappings in Hilbert spaces, and then establish the strong convergence of such an algorithm, which extends the Halpern type algorithm studied by Wang and Xu to a viscosity iteration. Above all, the step sizes in this algorithm are chosen without a priori knowledge of the operator norms.

【 授权许可】

Unknown