A Generalization of Kannan's Fixed Point Theorem
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/192872 |
| id |
doaj-e5abbb1e4c4948dc9dc817ddf765b1c1 |
|---|---|
| record_format |
Article |
| spelling |
doaj-e5abbb1e4c4948dc9dc817ddf765b1c12020-11-25T00:24:47ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122009-01-01200910.1155/2009/192872A Generalization of Kannan's Fixed Point TheoremYusuke EnjoujiMasato NakanishiTomonari SuzukiIn order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point. http://dx.doi.org/10.1155/2009/192872 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yusuke Enjouji Masato Nakanishi Tomonari Suzuki |
| spellingShingle |
Yusuke Enjouji Masato Nakanishi Tomonari Suzuki A Generalization of Kannan's Fixed Point Theorem Fixed Point Theory and Applications |
| author_facet |
Yusuke Enjouji Masato Nakanishi Tomonari Suzuki |
| author_sort |
Yusuke Enjouji |
| title |
A Generalization of Kannan's Fixed Point Theorem |
| title_short |
A Generalization of Kannan's Fixed Point Theorem |
| title_full |
A Generalization of Kannan's Fixed Point Theorem |
| title_fullStr |
A Generalization of Kannan's Fixed Point Theorem |
| title_full_unstemmed |
A Generalization of Kannan's Fixed Point Theorem |
| title_sort |
generalization of kannan's fixed point theorem |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2009-01-01 |
| description |
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point. |
| url |
http://dx.doi.org/10.1155/2009/192872 |
| work_keys_str_mv |
AT yusukeenjouji ageneralizationofkannan39sfixedpointtheorem AT masatonakanishi ageneralizationofkannan39sfixedpointtheorem AT tomonarisuzuki ageneralizationofkannan39sfixedpointtheorem AT yusukeenjouji generalizationofkannan39sfixedpointtheorem AT masatonakanishi generalizationofkannan39sfixedpointtheorem AT tomonarisuzuki generalizationofkannan39sfixedpointtheorem |
| _version_ |
1716175481478316032 |