Nonlinear contractive conditions for coupled cone fixed point theorems
type: Item
instance of: scholarly article
title: Nonlinear contractive conditions for coupled cone fixed point theorems
zbMATH Open document ID: 1220.54022
DOI: 10.1155/2010/190606
author: Wei-Shih Du
published in: Fixed Point Theory and Applications
publication date: 2010-09-28T00:00:00Z
full work available at URL: https://eudml.org/doc/227396
review text: The author proves coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasi-ordered cone metric spaces. The existence of fixed points in partially ordered sets has been studied by several researchers. The various contractive conditions are important in metric fixed point theory, and attempts are made to weaken the contractive requirements. The results given in this paper under weaker assumptions do extend a few known results.
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 5792437
zbMATH Keywords: coupled fixed point theorem
zbMATH Keywords: nonlinear contractive maps
zbMATH Keywords: quasiordered cone metric spaces
zbMATH Keywords: partially ordered set
Wikidata QID: Q59253547
MaRDI profile type: Publication
OpenAlex ID: W2040501805
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description: scientific article; zbMATH DE number 5792437