On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings
type: Item
instance of: scholarly article
title: On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings
zbMATH Open document ID: 0892.47057
DOI: 10.1023/A:1006555406715
author: N. Mostafa Ali
author: Ireneusz Kubiaczyk
published in: Acta Mathematica Hungarica
publication date: 1998-03-26T00:00:00Z
review text: \textit{R. A. Rashwan} [Demonstr. Math. 28, 271-274 (1995; Zbl 0862.47037)] has shown that, for a pair of self-mappings \(S\), \(T\) satisfying some contractive conditions, if the sequence of Ishikawa iterates associated with \(S\) or \(T\) is convergent, then its limit point is a common fixed point of \(S\) and \(T\). In the present paper, the author extends these results for a pair of multi-valued mappings \(S\), \(T\) in normed spaces, using the Ishikawa iteration process.
reviewed by: José M. Ayerbe
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 1134610
zbMATH Keywords: fixed point theorems
zbMATH Keywords: multi-valued mappings
zbMATH Keywords: Ishikawa iterates
zbMATH Keywords: Hausdorff metric
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1134610