Existence of common fixed points via modified mann iteration in convex metric spaces and an invariant approximation result

We prove the existence of common fixed points for two selfmaps $T$ and $f$ of a convex metric space $X$ via the convergence of modified Mann iteration where $T$ is a nonlinear $f$-weakly contractive selfmap of $X$ and range of $f$ is complete. An invariant approximation result is also proved.

Saved in:
Bibliographic Details
Published in:Tamkang journal of mathematics 2010-12, Vol.41 (4), p.335-348
Main Authors: Babu, G.V.R., Alemayehu, G.N.
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove the existence of common fixed points for two selfmaps $T$ and $f$ of a convex metric space $X$ via the convergence of modified Mann iteration where $T$ is a nonlinear $f$-weakly contractive selfmap of $X$ and range of $f$ is complete. An invariant approximation result is also proved.
ISSN:0049-2930
2073-9826
DOI:10.5556/j.tkjm.41.2010.785