Journal
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
Volume 22, Issue 7, Pages 1241-1249Publisher
YOKOHAMA PUBL
Keywords
Accretive operator; nonexpansive mapping; iterative method; uniform smooth Banach space; duality map
Categories
Ask authors/readers for more resources
This paper investigates the nonlinear equation x + Tx = y, where T is an m-accretive, nonexpansive mapping on a q-uniformly smooth Banach space with q in (1, 2]. It is proven that a Mann iterative process strongly converges to the unique solution of the equation, and an estimate of the convergence rate is provided. The results of the paper expand upon Dotson's findings from Hilbert space to a Banach space setting.
The nonlinear equation x + Tx = y is studied, where T is an m-accretive, nonexpansive mapping on a q-uniformly smooth Banach space with q is an element of (1, 2]. A Mann iterative process is proved to strongly converge to the unique solution of the equation. An estimates of convergence rate of the process is also given. The results of the paper extend those of Dotson [10] from the Hilbert space setting to a Banach space setting.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available