Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

• Published in: Afrika mathematica Vol. 27; no. 5-6; pp. 949 - 961
• Main Authors: Woldeamanuel, Sebsibe Teferi, Sangago, Mengistu Goa, Hailu, Habtu Zegeye
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2016
• Subjects: Applications of Mathematics; History of Mathematical Sciences; Mathematics; Mathematics and Statistics; Mathematics Education; Secondary 46A32; Asymptotically quasi-nonexpansive mapping; Asymptotically nonexpansive mapping; Common fixed point; One-step iterative algorithm; Weak and strong convergence; 47D20; Primary 47H10

The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and impr...