Compatible and weakly compatible mappings in cone metric spaces

被引：23
|
作者：
Jankovic, Slobodanka [2 ]
Golubovic, Zorana [1 ]
Radenovic, Stojan [1 ]
机构：
[1] Univ Belgrade, Fac Mech Engn, Belgrade 11120, Serbia
[2] Math Inst, Belgrade 11001, Serbia
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 52卷 / 9-10期
关键词：
Cone metric space; Normal and non-normal cones; Common fixed point; Compatible maps; Weakly compatible; COMMON FIXED-POINTS; THEOREM; MAPS;
D O I：
10.1016/j.mcm.2010.06.043
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we extend and generalize common fixed point theorems for six self-maps of Singh and Jain [B. Singh, S. Jain, A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. 301 (2005) 439-448] from Menger and metric spaces to cone metric spaces. We also extend the notions of compatible and weakly compatible mappings from the setting of Menger and metric spaces to the setting of cone metric spaces. We do not impose the normality property on the cone, but suppose only that the cone P, in the ordered Banach space E, has a nonempty interior. Examples are given to illustrate the results. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1728 / 1738
页数：11
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