Ordered cone metric spaces and fixed point results

被引：20
作者：
Altun, Ishak [2 ]
Rakocevic, Vladimir [1 ]
机构：
[1] Univ Nis, Fac Math & Sci, Nish 18000, Serbia
[2] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Yahsihan, Kirikkale, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 05期
关键词：
Banach spaces; Cone metric space; Fixed point; Partial order; QUASI-CONTRACTION; THEOREMS; MAPS;
D O I：
10.1016/j.camwa.2010.05.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a partial order on a cone metric space and prove a Caristi-type theorem. Furthermore, we prove fixed point theorems for single-valued nondecreasing and weakly increasing mappings, and multi-valued mappings on an ordered cone metric space. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1145 / 1151
页数：7
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