Abstract: In this paper a
-step iterative scheme is studied with errors involving k
uniformly quasi-Lipschitzian mappings and 1 asymptotically j-hemicontractive
mapping in Banach spaces. Some new convergence theorems are established for the
iterative scheme to approximate a common fixed point of these mappings. The results presented in
this paper extend, unify and improve several recent important results obtained
by Zeng [14], Chang [3], Xiao and Zhu [11], and others.
Keywords and phrases: asymptotically j-hemicontractive mapping, uniformly quasi-Lipschitzian
mappings,
-step iterative scheme, common fixed point, Banach space.
