Rotative mappings in Hilbert space
type: Item
instance of: scholarly article
zbMATH Open document ID: 0980.47045
author: Małgorzata Koter-Mórgowska
publication date: 2002-03-04T00:00:00Z
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1588150
zbMATH Keywords: rotative mappings
zbMATH Keywords: numerical Lipschitz constant
zbMATH Keywords: fixed point free
MaRDI profile type: Publication
title: Rotative mappings in Hilbert space
published in: Journal of Nonlinear and Convex Analysis
review text: A self-map \(T\) of a subset \(C\) of a Banach space \(X\) is called \((a,n)\)-rotative (\(n\in \mathbb{N}\), \(n\geq 2\), \(a\in [0,n)\)) if \(\|x- T^nx\|\leq a\|x-Tx\|\) for all \(x\in C\). In this paper the author studies the numerical Lipschitz constant for a fixed point free \((a,n)\)-rotative map in a Hilbert space. This corrects and extends some recent work of \textit{J. Górnicki} [Commentat. Math. Univ. Carol. 40, 495-510 (1999)].
reviewed by: Jürgen Appell
description: scientific article