Fixed point theorems in generating spaces of quasi-norm family and applications

被引：1
|
作者：
Xiao, Jian-Zhong [1 ]
Zhu, Xing-Hua [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Dept Math, Nanjing 210044, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2006年 / 2006卷 / 1期
关键词：
Point Theorem; Differential Geometry; Normed Space; Topological Structure; Fixed Point Theorem;
D O I：
10.1155/FPTA/2006/61623
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some new concepts of generating spaces of quasi-norm family are introduced and their linear topological structures are studied. These spaces are not necessarily locally convex. By virtue of some properties in these spaces, several Schauder-type fixed point theorems are proved, which include the corresponding theorems in locally convex spaces as their special cases. As applications, some new fixed point theorems in Menger probabilistic normed spaces and fuzzy normed spaces are obtained. Copyright (C) 2006 J.-Z. Xiao and X.-H. Zhu.
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页数：10
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