Fixed points of a new type of contractive mappings in complete metric spaces

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: F-contraction;    contractive mapping;    fixed point;    complete metric space;   

DOI  :  10.1186/1687-1812-2012-94

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the article, we introduce a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the literature. The article includes an example which shows the validity of our results, additionally there is delivered numerical data which illustrates the provided example. MSC: 47H10; 54E50.

【 授权许可】

CC BY