A fixed point theorem of Subrahmanyam type in uniform spaces with generalized pseudodistances

被引:16
|
作者
Wlodarczyk, Kazimierz [1 ]
Plebaniak, Robert [1 ]
机构
[1] Univ Lodz, Dept Nonlinear Anal, Fac Math & Comp Sci, PL-90238 Lodz, Poland
关键词
Uniform space; I-family of generalized pseudodistances; Fixed point theorem of Subrahmanyam type; Iterative approximation; QUASI-ASYMPTOTIC CONTRACTIONS; VALUED DYNAMIC-SYSTEMS; COMPLETE METRIC-SPACES; CONE UNIFORM; EXISTENCE;
D O I
10.1016/j.aml.2010.10.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In uniform spaces, not necessarily sequentially complete, using the concept of the I-family of generalized pseudodistances, the fixed point theorem of Subrahmanyam type is established. The result and method of investigations presented here are new for maps in uniform and locally convex spaces and even in metric spaces. (C) 2010 Elsevier Ltd. All rights reserved.
引用
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页码:325 / 328
页数:4
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