On a soft mapping and its fixed points

被引：43
|
作者：
Wardowski, Dariusz [1 ]
机构：
[1] Univ Lodz, Dept Nonlinear Anal, Fac Math & Comp Sci, PL-90238 Lodz, Poland
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
soft set; soft element of soft set; soft mapping; fixed point of soft mapping; soft compact topological space;
D O I：
10.1186/1687-1812-2013-182
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the article first we introduce a new notion of soft element of a soft set and establish its natural relation with soft operations and soft objects in soft topological spaces. Next, using the notion of soft element, we define, in a different way than in the literature, a soft mapping transforming a soft set into a soft set and provide basic properties of such mappings. The new approach to soft mappings enables us to obtain the natural first fixed-point results in the soft set theory. Throughout the paper a comprehensive set of examples illustrating the discussed topics is presented.
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页数：11
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