Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings

被引：0
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作者：
Hao Liu
Shaoyuan Xu
机构：
[1] Hubei Normal University,School of Mathematics and Statistics
[2] Hanshan Normal University,Department of Mathematics and Statistics
来源：
Fixed Point Theory and Applications | / 2013卷
关键词：
cone metric spaces with Banach algebras; fixed point theorems; generalized Lipschitz conditions;
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摘要：
In this paper we introduce the concept of cone metric spaces with Banach algebras, replacing Banach spaces by Banach algebras as the underlying spaces of cone metric spaces. With this modification, we shall prove some fixed point theorems of generalized Lipschitz mappings with weaker conditions on generalized Lipschitz constants. An example shows that our main results concerning the fixed point theorems in the setting of cone metric spaces with Banach algebras are more useful than the standard results in cone metric spaces presented in the literature.
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