On Firmly Non-Expansive Mappings

In this paper, it is shown that for a closed convex subset C and to every non-expansive mapping T:C-&gt;C, one can associate a firmly non-expansive mapping with the same fixed point set as T in a given Banach space.<br />

Bibliographic Details
Main Authors: Joseph Frank Gordon, Esther Opoku Gyasi
Format: Article
Language:English
Published: Etamaths Publishing 2021-05-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2362
Description
Summary:In this paper, it is shown that for a closed convex subset C and to every non-expansive mapping T:C-&gt;C, one can associate a firmly non-expansive mapping with the same fixed point set as T in a given Banach space.<br />
ISSN:2291-8639