Abstract
Abstract In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors. Strong convergence theorems for zeros of m-accretive operators are established in a real Banach space. MSC:47H05, 47H09, 47J25, 65J15.
Highlights
Introduction and preliminaries LetC be a nonempty closed convex subset of a real Banach space E and let E* be the dual space of E
We study the convergence of paths for continuous pseudocontractions in a real Banach space by viscosity approximation methods
{xt} converges strongly as t → to a fixed point x* of T, which is the unique solution in F(T) to the following variational inequality: f x* – x*, j x* – p ≥, ∀p ∈ F(T)
Summary
Introduction and preliminaries LetC be a nonempty closed convex subset of a real Banach space E and let E* be the dual space of E. ∞, the sequence {xn} generated in the normal Mann iterative process converges weakly to a fixed point of T. Qin and Su [ ] studied the problem of modifying the normal Mann iterative process to have strong convergence for m-accretive operators.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
