Title of article
Proximal pointwise contraction
Author/Authors
Anuradha، نويسنده , , J. and Veeramani، نويسنده , , P.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2009
Pages
7
From page
2942
To page
2948
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].
Keywords
Best proximity points , Fixed points , Relatively nonexpansive , Pointwise contraction
Journal title
Topology and its Applications
Serial Year
2009
Journal title
Topology and its Applications
Record number
1582270
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