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The Solution by Iteration of Nonlinear Equations in Uniformly Smooth Banach Spaces

โœ Scribed by C.E Chidume; Chika Moore

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
226 KB
Volume
215
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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 Tx and f g x q Tx, ) 0, when T is a set-valued strongly accretative operator. Our theorems include the cases in which the operator T is defined only locally. Explicit error estimates are also given.

๐Ÿ“œ SIMILAR VOLUMES

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