On nonlinear quasi-contractions on TVS-cone metric spaces

被引：11

作者：

Arandelovic, Ivan D. ^{[1
]}

Keckic, Dragoljub J. ^{[2
]}

机构：

[1] Univ Belgrade, Fac Mech Engn, Beograd 11000, Serbia

[2] Univ Belgrade, Fac Mathematics, Beograd 11000, Serbia

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 07期

关键词：

Fixed point; TVS-cone metric space; Quasi-contraction; FIXED-POINT THEOREMS;

D O I：

10.1016/j.aml.2011.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Du [W.-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. (2009), doi:10.1016/j.na.2009.10.026] introduced the notion of TVS-cone metric space. In this paper we present fixed point theorem for nonlinear quasi-contractive mappings defined on TVS-cone metric space, which generalizes earlier results obtained by Ilic and Rakocevic [D. Ilic, V. Rakocevic, Quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 728-731] and Kadelburg, Radenovic and Rakocevic [Z. Kadelburg, S. Radenovic, V. Rakocevic, Remarks on quasi-contractions on a cone metric space, Appl. Math. Lett. 22 (2009) 1674-1679]. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1209 / 1213

页数：5

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