Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces

We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an in...

Full description

Saved in:
Bibliographic Details
Main Authors: Withun Phuengrattana, Suthep Suantai
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84870502668&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/48121
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Chiang Mai University
Description
Summary:We generalize the notion of K-mapping due to Kangtunyakarn and Suantai (2009). [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an infinite family of nonexpansive mappings on a uniformly convex metric space. © 2012 Elsevier Ltd.