𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stable Iteration Procedures for Strong Pseudo-contractions and Nonlinear Operator Equations of the Accretive Type

✍ Scribed by M.O. Osilike

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
177 KB
Volume
204
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

It is proved that certain Mann and Ishikawa iteration procedures are stable with respect to strongly pseudo-contracti¨e mappings in real Banach spaces which are q-uniformly smooth, 1q -ϱ. A related result deals with stable iteration procedures for solutions of nonlinear equations of the accreti¨e type.

πŸ“œ SIMILAR VOLUMES

Stable Iteration Procedures for Strong P
Stable Iteration Procedures for Strong Pseudocontractions and Nonlinear Equations Involving Accretive Operators without Lipschitz Assumption
✍ Hai-Yun Zhou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 73 KB

Let E be a real uniformly smooth Banach space and T : E Βͺ E a strong pseudocontraction with a bounded range. We prove that the Mann and Ishikawa iteration procedures are T-stable. Some related results deal with the stability of these procedures for the iteration approximation of solutions of nonline

Ishikawa and Mann Iteration Methods with
Ishikawa and Mann Iteration Methods with Errors for Nonlinear Equations of the Accretive Type
✍ M.O. Osilike πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 212 KB

114᎐125 converge strongly to the solution of the equation Tx s f. Furthermore, if E is a uniformly smooth Banach space and T : E Βͺ 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