Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality

被引：0
作者：
Shaoyuan Xu
Stojan Radenović
机构：
[1] Hanshan Normal University,Department of Mathematics and Statistics
[2] University of Belgrade,Faculty of Mechanical Engineering
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
cone metric spaces over Banach algebras; non-normal cones; fixed point theorems; generalized Lipschitz mappings; -sequences; spectral radius;
D O I：
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摘要：
In this paper, we first present some elementary results concerning cone metric spaces over Banach algebras. Next, by using these results and the related ones about c-sequence on cone metric spaces we obtain some new fixed point theorems for the generalized Lipschitz mappings on cone metric spaces over Banach algebras without the assumption of normality. As a consequence, our main results improve and generalize the corresponding results in the recent paper by Liu and Xu (Fixed Point Theory Appl. 2013:320, 2013).
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