A general iterative method for multi-valued mappings
type: Item
instance of: scholarly article
title: A general iterative method for multi-valued mappings
zbMATH Open document ID: 1314.47114
author: Rabian Wangkeeree
author: Pakkapon Preechasilp
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2014-08-25T00:00:00Z
full work available at URL: vol37 3 8.html
review text: In this paper, a new general iterative approximation method is introduced. In their first main theorem (Theorem 3.1), using this iterative method, a strong convergence theorem for a countable family of multivalued mappings in reflexive Banach spaces is proved. In their second main theorem (Theorem 3.4), a strong convergence theorem for a general multivalued version of the modified Mann iteration has been proved. The main results extend various results of the current literature.
reviewed by: Safeer Hussain Khan
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6334144
zbMATH Keywords: multi-valued mapping
zbMATH Keywords: iterative approximation methods
zbMATH Keywords: common fixed point
zbMATH Keywords: reflexive Banach space
zbMATH Keywords: strong convergence
zbMATH Keywords: modified Mann iteration
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6334144