The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces

• Published in: Journal of inequalities and applications Vol. 2015; no. 1; pp. 1 - 11
• Main Authors: Zhang, Xin-fang, Wang, Lin, Ma, Zhao Li, Qin, Li Juan
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 29.12.2015
• Subjects: Asymptotic properties; Convergence; Fixed points (mathematics); Hilbert space; Inequalities; Iterative algorithms; Mapping; Mathematics; Theorems

In this paper, an iterative algorithm is introduced to solve the split common fixed point problem for asymptotically nonexpansive mappings in Hilbert spaces. The iterative algorithm presented in this paper is shown to possess strong convergence for the split common fixed point problem of asymptotica...