Kannan-type contractions and fixed points in uniform spaces

被引：10

作者：

Wlodarczyk, Kazimierz ^{[1
]}

Plebaniak, Robert ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, Dept Nonlinear Anal, PL-90238 Lodz, Poland

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

uniform space; metric space; J-family of generalized pseudodistances; contractions of Kannan type; fixed point; iterative approximation; EXISTENCE; THEOREMS;

D O I：

10.1186/1687-1812-2011-90

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 24

页数：24

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