A reconsideration on equivalency of convergence between iterations for uniformly L-Lipschitzian operators
This paper is to illustrate that the conditions and proofs of three theorems of S.S. Chang, Y.J. Cho and J.K. Kim [The equivalence between the convergence of modified Picard, modified Mann and modified Ishikawa iterations, Math. Comput. Modelling 37 (2003) 985-991] concerning the equivalence between the convergence of modified Picard, modified Mann and modified Ishikawa iterations for uniformly Lipschitzian operators in arbitrary Banach spaces are incorrect. (c) 2006 Elsevier Ltd. All rights reserved.
modified mann and modified ishikawa iteration equivalence of the convergence l-uniformly lipschitzian