Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843524 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 7 Pages |
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 φφ-contractions, which contains the cyclic contraction maps as a subclass. Convergence and existence results of best proximity points for cyclic φφ-contraction maps are also obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
M.A. Al-Thagafi, Naseer Shahzad,