Three-step iterations for nonlinear accretive operator equations

By Muhammad Aslam Noor, Themistocles M. Rassias, Zhenyu Huang. 2002

57 citations recorded by the source corpus.

Abstract In this paper, we suggest and analyze a three-step iterative scheme for solving nonlinear strongly accretive operator equation Tx = f without continuous condition in a uniformly smooth Banach space. Our results include the Ishikawa, Mann and Noor iterations as special cases. The results presented in this paper improve and extend almost all the current results in the more general setting.

Subfields: Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d8c27e54292e06991470ab5775e165893e22cdac

Citations in the corpus

• Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces (2008, unknown): “[17], Petrot [18] and Suantai [25]).”