Title :
A Sufficiency and Necessity Condition on Convergence of Ishikawa Iterative Process for Asymptotically Pseudocontractive Mapping
Author :
Du, Hongshan ; Wang, Guanglan
Author_Institution :
Sch. of Sci., Linyi Normal Univ., Linyi, China
Abstract :
Using virtue of an inequality and some analysis techniques, we give a sufficiency and necessity condition on convergencon the modification Ishikawa iterative process with errors for uniformly asymptotically pseudocontractive mappings in Banach space, The results improve, extend, and include some recent results due to Zhang shi-sen Liu Q H etc.
Keywords :
Banach spaces; convergence of numerical methods; iterative methods; Banach space; Ishikawa iterative process; convergence; pseudocontractive mapping; Convergence; Hilbert space; asymptotically pseudocontractive mapping; the modification Ishikawa iterative process with errors; uniformly L-Lipschitz mapping;
Conference_Titel :
Computational Science and Optimization (CSO), 2010 Third International Joint Conference on
Conference_Location :
Huangshan, Anhui
Print_ISBN :
978-1-4244-6812-6
Electronic_ISBN :
978-1-4244-6813-3
DOI :
10.1109/CSO.2010.10
