Fixed points of mappings with a contractive iterate at a point in partial metric spaces

被引:3
作者
Ilic, Dejan [1 ]
Pavlovic, Vladimir [1 ]
Rakocevic, Vladimir [1 ]
机构
[1] Univ Nis, Fac Sci & Math, Dept Math, Nish 18000, Serbia
关键词
fixed point; partial metric space; contractive iterate at a point; PRINCIPLE; THEOREMS;
D O I
10.1186/1687-1812-2013-335
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In 1994, Matthews introduced and studied the concept of partial metric space and obtained a Banach-type fixed point theorem on complete partial metric spaces. In this paper we study fixed point results of new mappings with a contractive iterate at a point in partial metric spaces. Our results generalize and unify some results of Sehgal, Guseman and Ciric for mappings with a generalized contractive iterate at a point to partial metric spaces. We give some generalized versions of the fixed point theorem of Matthews. The theory is illustrated by some examples.
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页数:18
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