TITLE:
Self-Adaptive Algorithms for the Split Common Fixed Point Problem of the Demimetric Mappings
AUTHORS:
Xinhong Chen, Yanlai Song, Jianying He, Liping Gong
KEYWORDS:
Hilbert Space, Demimetric Mapping, Split Common Fixed Point Problem, Self-Adaptive Algorithm
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.10,
October
8,
2019
ABSTRACT: 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 bounded linear operator belongs to another fixed-point set. In this paper, we present new iterative algorithms for solving the split common fixed point problem of demimetric mappings in Hilbert spaces. Moreover, our algorithm does not need any prior information of the operator norm. Weak and strong convergence theorems are given under some mild assumptions. The results in this paper are the extension and improvement of the recent results in the literature.