Author(s)

Xinhong Chen¹, Yanlai Song¹, Jianying He¹, Liping Gong²

¹College of Science, Zhongyuan University of Technology, Zhengzhou, China.
²School of Foreign Languages, Zhongyuan University of Technology, Zhengzhou, China.

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.

Hilbert Space, Demimetric Mapping, Split Common Fixed Point Problem, Self-Adaptive Algorithm

Chen, X. , Song, Y. , He, J. and Gong, L. (2019) Self-Adaptive Algorithms for the Split Common Fixed Point Problem of the Demimetric Mappings. Journal of Applied Mathematics and Physics, 7, 2187-2199. doi: 10.4236/jamp.2019.710150.