Proximal pointwise contraction

Date Issued
01-12-2009
Author(s)
Anuradha, J.
Veeramani, P.
DOI
Abstract
In this paper, we introduce the notion of proximal pointwise contraction and obtain the existence of a best proximity point on a pair of weakly compact convex subset of a Banach space and generalize a result of [W.A. Kirk, Mappings of generalized contractive type, J. Math. Anal. Appl. 32 (1970) 567-570; W.A. Kirk, H.K. Xu, Asymptotic pointwise contractions, Nonlinear Anal. 69 (2008) 4706-4712]. © 2009 Elsevier B.V. All rights reserved.
Volume
156
Subjects