Common fixed point theorems for generalized expansive mappings in partial b-metric spaces and an application

被引：3
|
作者：
Zhu, Chuanxi [1 ]
Xu, Wenqing [1 ]
Chen, Chunfang [1 ]
Zhang, Xiaozhi [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
partial metric space; b-metric space; expansive mappings; weakly expansive mappings; common fixed point; CONTRACTIONS;
D O I：
10.1186/1029-242X-2014-475
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce the concepts of generalized (psi, f)(lambda)-expansive mappings and generalized (phi, g, h)(lambda)-weakly expansive mappings designed for three mappings. Then we establish some common fixed point results for such two new types of mappings in partial b-metric spaces. These results generalize and extend the main results of Karapinar et al. (J. Inequal. Appl. 2014:22, 2014), Nashine et al. (Fixed Point Theory Appl. 2013:203, 2013) and many comparable results from the current literature. Moreover, some examples and an application to a system of integral equations are given here to illustrate the usability of the obtained results.
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页数：19
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