Proximal pointwise contraction

被引：89

作者：

Anuradha, J. ^{[1
]}

Veeramani, P. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 18期

关键词：

Pointwise contraction; Relatively nonexpansive; Best proximity points; Fixed points; NONEXPANSIVE-MAPPINGS; EXISTENCE; THEOREMS; SPACES;

D O I：

10.1016/j.topol.2009.01.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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]. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2942 / 2948

页数：7

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