Kannan-type contractions and fixed points in uniform 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 2011, 2011:90 doi:10.1186/1687-1812-2011-90Published: 30 November 2011
In uniform spaces, using -families of generalized pseudodistances, we construct four kinds of contractions of Kannan type and, by techniques based on these generalized pseudodistances, we prove fixed point theorems for such contractions. The results are new in uniform and locally convex spaces and even in metric spaces. Examples are given.
MSC: 47H10; 47H09; 54E15; 46A03; 54E35.