Document Details

Document Type : Article In Journal 
Document Title :
Fixed point theorems for convex contraction mappings on cone metric spaces
Fixed point theorems for convex contraction mappings on cone metric spaces
 
Subject : Mathematics 
Document Language : English 
Abstract : In 2007, Huang and Zhang [L.G. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468-1476] rediscovered normal cone metric spaces and obtained the Banach contraction principle for this setting. Later on, Rezapour and Hamlbarani [Sh. Rezapour, R. Hamlbarani, Some notes on the paper: Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 345 (2008) 719-724] showed that there are non-normal cones and that the assumption of normality is redundant. In this paper, we obtain a generalization of the Banach contraction principle to the class of convex contractions on non-normal cone metric spaces. Our result includes, as special cases, the recent results of Huang and Zhang (2007) [2] and Rezapour and Hamlbarani (2008) [3]. 
ISSN : 0895-7177 
Journal Name : Mathematical and Computer Modelling 
Volume : 54 
Issue Number : 9 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Monday, February 20, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
محمد علي الغامديAlghamdi, Mohammad AResearcherDoctorateMGHAMDI3@kau.edu.sa
شهرزاد حامد النافعيAlnafei, Shahrazad HResearcherMastersh_alnafei@hotmail.com
Stojan RadenovićRadenović, Stojan ResearcherDoctorateradens@beotel.net
نصير شهزادShahzad, Naseer ResearcherDoctoratenshahzad@kau.edu.sa

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