Endpoints and fixed points of set-valued contractions in cone metric spaces
type: Item
instance of: scholarly article
title: Endpoints and fixed points of set-valued contractions in cone metric spaces
zbMATH Open document ID: 1169.54023
author: Dariusz Wardowski
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-09T00:00:00Z
review text: \textit{L.--G.\thinspace Huang} and \textit{X.\,Zhang} [J.~Math.\ Anal.\ Appl.\ 332, No.\,2, 1468--1476 (2007; Zbl 1118.54022)] introduced the notion of cone metric space and established fixed point theorems for single-valued contractive maps in these spaces. In the paper under review, the author proves endpoint and fixed point theorems for set-valued contractive maps in cone metric spaces. Some examples are also given.
reviewed by: Hemant Kumar Nashine
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54F05
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 46B40
zbMATH DE Number: 5563053
zbMATH Keywords: fixed point
zbMATH Keywords: set-valued contraction
zbMATH Keywords: endpoint
zbMATH Keywords: ordered Banach space
zbMATH Keywords: cone metric space
MaRDI profile type: Publication
full work available at URL: j.na.2008.10.089
OpenAlex ID: W1998765978
cites work: Q5185568
cites work: Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
DOI: 10.1016/J.NA.2008.10.089
description: scientific article; zbMATH DE number 5563053