Fixed point results for {α, ξ}-expansive locally contractive mappings

被引：25
|
作者：
Ahmad, Jamshaid [1 ]
Al-Rawashdeh, Ahmed Saleh [2 ]
Azam, Akbar [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
[2] UAE Univ, Dept Math Sci, Al Ain 15551, U Arab Emirates
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
expansive mapping; alpha-admissible; fixed point; closed ball; METRIC-SPACES; THEOREMS; PSI;
D O I：
10.1186/1029-242X-2014-364
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We recall the concepts of {alpha, xi}-contractive and alpha-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results for {alpha, xi}-expansive locally contractive mappings in complete metric spaces. The contractiveness of the mapping is only on a closed ball instead of the whole space. Our results unify, generalize, and complement various well-known comparable results in the literature.
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页数：10
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