Invariant property of roughly contractive mappings
type: Item
instance of: scholarly article
title: Invariant property of roughly contractive mappings
zbMATH Open document ID: 0977.47048
author: Hoang Xuan Phu
author: Tran Van Truong
published in: Vietnam Journal of Mathematics
publication date: 2001-10-09T00:00:00Z
review text: If \((M,d)\) is a metric space, a \(r\)-roughly \(k\)-contractive mapping on \(M\) is a map \(T: M\to M\) satisfying the condition \(d(Tx, Ty)\leq kd(x,y)+ r\), for all \(x,y\in M\) and some \(k\in (0,1)\) and \(r>0\). Several \(\gamma\)-fixed point theorem for \(r\)-roughly \(k\)-contractive mappings on convex and non-convex domains are proved.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 1556460
zbMATH Keywords: \(\gamma\)-fixed point
zbMATH Keywords: strictly convex normed space
zbMATH Keywords: \(r\)-roughly \(k\)-contractive mappings
reviewed by: Adrian Petruşel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1556460