𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Accumulation and control of random errors in the Ishikawa iterative process in arbitrary Banach space

✍ Scribed by Yuguang Xu; Zeqing Liu; Shin Min Kang

Book ID
108078622
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
201 KB
Volume
61
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Ishikawa iterative process with errors f
Ishikawa iterative process with errors for nonlinear equations of generalized monotone type in Banach spaces
✍ Ljubomir B. Δ†iriΔ‡; Jeong Sheok Ume πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 151 KB πŸ‘ 1 views

## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ βŠ‚ __X__ β†’ 2

Stability of Ishikawa iteration methods
Stability of Ishikawa iteration methods with errors for strong pseudocontractions and nonlinear equations involving accretive operators in arbitrary Real Banach spaces
✍ Zeqing Liu; Shin Min Kang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 476 KB

Let X be an arbitrary real Banach space and T : X -\* X be a Lipschitz strongly pseudocontraction. It is proved that certain Ishikawa iteration procedures with errors are both convergent and T-stable. A few related results deal with the convergence and stability of the iteration procedures for the i