Ishikawa Iteration Process for Nonlinear Lipschitz Strongly Accretive Mappings
โ Scribed by C.E. Chidume; M.O. Osilike
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 481 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
ร 4 ร 4 ร 4 mapping. Given a sequence x in D and two real sequences t and s ร 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n ยช ฯฑn n D , X, and T are shown which guarantee the weak and strong convergence of the Ishikawa iteration process to a fixed point of T.
Let E be a real Banach space with a uniformly convex dual space E\*. Suppose ลฝ . T : E ยช E is a continuous not necessarily Lipschitzian strongly accretive map ลฝ . such that I y T has bounded range, where I denotes the identity operator. It is proved that the Ishikawa iterative sequence converges str
114แ125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E ยช E is demicontinuous and strongly accretive, it is also proved that both the Ishikawa and the Mann iteration methods with errors converge strongly to the solution of the