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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2006-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2006/61623 |
| _version_ | 1818779172330274816 |
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| author | Xiao Jian-Zhong Zhu Xing-Hua |
| author_facet | Xiao Jian-Zhong Zhu Xing-Hua |
| author_sort | Xiao Jian-Zhong |
| collection | DOAJ |
| description | <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> |
| first_indexed | 2024-12-18T11:56:23Z |
| format | Article |
| id | doaj.art-5c917ee40617457ba4222f652e8a12ea |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-18T11:56:23Z |
| publishDate | 2006-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-5c917ee40617457ba4222f652e8a12ea2022-12-21T21:09:02ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-01-012006161623Fixed point theorems in generating spaces of quasi-norm family and applicationsXiao Jian-ZhongZhu Xing-Hua<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>http://www.fixedpointtheoryandapplications.com/content/2006/61623 |
| spellingShingle | Xiao Jian-Zhong Zhu Xing-Hua Fixed point theorems in generating spaces of quasi-norm family and applications Fixed Point Theory and Applications |
| title | Fixed point theorems in generating spaces of quasi-norm family and applications |
| title_full | Fixed point theorems in generating spaces of quasi-norm family and applications |
| title_fullStr | Fixed point theorems in generating spaces of quasi-norm family and applications |
| title_full_unstemmed | Fixed point theorems in generating spaces of quasi-norm family and applications |
| title_short | Fixed point theorems in generating spaces of quasi-norm family and applications |
| title_sort | fixed point theorems in generating spaces of quasi norm family and applications |
| url | http://www.fixedpointtheoryandapplications.com/content/2006/61623 |
| work_keys_str_mv | AT xiaojianzhong fixedpointtheoremsingeneratingspacesofquasinormfamilyandapplications AT zhuxinghua fixedpointtheoremsingeneratingspacesofquasinormfamilyandapplications |