Fixed points of a new type of contractive mappings in complete metric spaces
Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland
Fixed Point Theory and Applications 2012, 2012:94 doi:10.1186/1687-1812-2012-94Published: 7 June 2012
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