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 Back To Researches Page