๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Ishikawa iterative process in uniformly smooth Banach spaces

โœ Scribed by Huang Zhen-yu

Publisher
Springer
Year
2001
Tongue
English
Weight
238 KB
Volume
22
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Mann and Ishikawa iterative processes fo
Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces
โœ Bancha Panyanak ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 193 KB

Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K โ†’ P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V

The Solution by Iteration of Nonlinear E
The Solution by Iteration of Nonlinear Equations in Uniformly Smooth Banach Spaces
โœ C.E Chidume; Chika Moore ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

strong pseudocontraction with an open domain D T in E and a fixed point ลฝ . x\* g D T . We establish the strong convergence of the Mann and Ishikawa ลฝ . iterative processes with errors to the fixed point of T. Related results deal with the iterative solution of operator equations of the forms f g T

Iterative process with errors for fixed
Iterative process with errors for fixed points of multivalued ฮฆ-hemicontractive operators in uniformly smooth Banach spaces
โœ Zhenyu Huang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 508 KB

This paper proves that, under suitable conditions, the multivalued Ishikawa iterative sequence with errors strongly converges to the unique fixed point of T. The related result deals with the strong convergence of the Ishikawa iterative sequence with errors to the unique solution of the equation f E