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

<p/> <p>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, wh...

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Bibliographic Details
Main Authors: Xiao Jian-Zhong, Zhu Xing-Hua
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2006/61623
Description
Summary:<p/> <p>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.</p>
ISSN:1687-1820
1687-1812