Ishikawa and Mann iterative processes with errors for set-valued strongly accretive and phi-hemicontractive mappings

Authors
Huang, NJ Cho, YJ Kang, SM Hwang, HJ
Citation
Nj. Huang et al., Ishikawa and Mann iterative processes with errors for set-valued strongly accretive and phi-hemicontractive mappings, MATH COMP M, 32(7-8), 2000, pp. 791-801
Citations number
29
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
32
Issue
7-8
Year of publication
2000
Pages
791 - 801
Database
ISI
SICI code
0895-7177(200010)32:7-8<791:IAMIPW>2.0.ZU;2-V
Abstract
In this paper, we introduce and study some new Ishikawa and Mann iterative processes with errors for set-valued mappings in Banach spaces. We prove so me strong convergence theorems of the new Ishikawa and Mann iterative proce sses with errors for set-valued strongly accretive and phi -hemicontractive mappings by using the new approximation methods. Our results improve and e xtend some recent results. (C) 2000 Elsevier Science Ltd. All rights reserv ed.