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Document Details
Document Type
:
Article In Journal
Document Title
:
Convergence and existence results for best Proximity points
Convergence and existence results for best Proximity points
Subject
:
Mthematics
Document Language
:
English
Abstract
:
We provide a positive answer to a question raised by Eldred and Veeramani [A.A. Eldred, P. Veeramani, Existence and convergence of best proximity points, J. Math. Anal. Appl. 323 (2006) 1001-1006] about the existence of a best proximity point for a cyclic contraction map in a reflexive Banach space. Moreover, we introduce a new class of maps, called cyclic φ-contractions, which contains the cyclic contraction maps as a subclass. Convergence and existence results of best proximity points for cyclic φ-contraction maps are also obtained. © 2008 Elsevier Ltd. All rights reserved.
ISSN
:
0362-546X
Journal Name
:
Nonlinear analysis
Volume
:
70
Issue Number
:
10
Publishing Year
:
2009 AH
2009 AD
Number Of Pages
:
7
Article Type
:
Article
Added Date
:
Monday, March 23, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
محمد بن أحمد الثقفي
M.A.Althagafi
Investigator
Doctorate
malthagafi@kau.edu.sa
نصير شهزاد محمد ايوب
Naseer Shahzad
Researcher
Doctorate
nshahzad@kaau.edu.sa
Files
File Name
Type
Description
23403.pdf
pdf
Abstract
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