East Asian mathematical journal
- Volume 18 Issue 2
- /
- Pages.261-270
- /
- 2002
- /
- 1226-6973(pISSN)
- /
- 2287-2833(eISSN)
CONVERGENCE THEOREMS OF THREE-STEP ITERATION METHODS FOR QUASI-CONTRACTIVE MAPPINGS
- Hao, Jinbiao (Department of Mathematics Liaoning Normal University, China) ;
- Wang, Li (Department of Mathematics Liaoning Normal University, China) ;
-
Kang, Shin-Min
(Department of Mathematics Gyeongsang National University) ;
-
Shim, Soo-Hak
(Department of Mathematics Gyeongsang National University)
- Published : 2002.12.27
Abstract
We obtain the convergence of three-step iteration methods and generalized three-step iteration methods for quasi-contractive and generalized quasi-contractive mappings, respectively, in Banach spaces. Our results extend the corresponding results in [1], [4]-[6].
Keywords
- convergence;
- three-step iteration method;
- generalized three-step iteration method;
- quasi-contractive mapping;
- generalized quasi-contractive mapping;
- fixed point;
- Banach space