Kannan-type contractions and fixed points in uniform spaces

被引：0
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作者：
Kazimierz Włodarczyk
Robert Plebaniak
机构：
[1] University of Łódź,Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
uniform space; metric space; -family of generalized pseudodistances; contractions of Kannan type; fixed point; iterative approximation;
D O I：
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学科分类号：
摘要：
In uniform spaces, using J-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.
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