On a soft mapping and its fixed points

Fixexd point theory and applications

Dariusz Wardowski¹ 

[1] Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łódź, Łódź, Poland

关键词: soft set;    soft element of soft set;    soft mapping;    fixed point of soft mapping;    soft compact topological space;   

DOI  :  10.1186/1687-1812-2013-182

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47H10, 54A05.

【 授权许可】

CC BY