Coincidence and Common Fixed Points of Perov Type Generalized Ćirić-Contraction Mappings
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- 作者：Mujahid Abbas ; Vladimir Rakočević ; Afshan Iqbal
- 关键词：Cone metric space ; common fixed point ; Perov type mappings ; Hardy–Rogers type mappings ; weakly compatible mappings
- 刊名：Mediterranean Journal of Mathematics
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：13
- 期：5
- 页码：3537-3555
- 全文大小：558 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Birkh盲user Basel
- ISSN：1660-5454
- 卷排序：13
文摘
Recently Cvetković and Rakocević (Appl Math Comput 235:712-722, 2014) obtained some fixed point results of quasi-contraction of Perov type in the setup of cone metric spaces. We prove a coincidence and common fixed point results of two pairs of mappings satisfying generalized Cirić contractive condition in cone metric space without appealing to the normality condition of the cone and without exploiting the notion of continuity of any map involved therein. We also obtain common fixed point results of Hardy–Roger’s type mappings. We present some remarks and examples to show that our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature. It is worth mentioning that the main result in this paper could not be derived from Ćirić’s result by the scalarization method, and hence indeed improves many recent results in cone metric spaces.