๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

An iterative process for nonlinear lipschitzian and strongly accretive mappings in uniformly convex and uniformly smooth Banach spaces

โœ Scribed by Lei Deng

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
537 KB
Volume
32
Category
Article
ISSN
0167-8019

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Iterative solutions of nonlinear equatio
Iterative solutions of nonlinear equations with ฯ†-strongly accretive operators in uniformly smooth Banach spaces
โœ Zeqing Liu; S.M. Kang ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 814 KB

Suppose that X is a uniformly smooth Banach space and T : X -X is a demicontinuous (not necessarily Lipschitz) #-strongly accretive operator. It is proved that the Ishikawa iterative method with errors converges strongly to the solutions of the equations f = TX and f = z+Tx, respectively. A related

Error Bounds for Approximation Solutions
Error Bounds for Approximation Solutions to Nonlinear Equations of Strongly Accretive Operators in Uniformly Smooth Banach Spaces
โœ Lu-Chuan Zeng ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 175 KB

Let X be a uniformly smooth Banach space and T : X ยช X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx s f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex

A Bound for the Modulus of Continuity fo
A Bound for the Modulus of Continuity for Metric Projections in a Uniformly Convex and Uniformly Smooth Banach Space
โœ Ya.I. Alber ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 318 KB

In 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the metric projection operator on a closed subspace in a uniformly convex and uniformly smooth Banach space B. In the present paper we give the global version of this result for the projection operator on an arbitra