Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras
The notion of C-class functions in Banach algebras is introduced. By using such concept, a new fixed point theorem is established. An example to illustrate main theorem is given. Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/9395057 |
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| _version_ | 1832549044943060992 |
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| author | Seong-Hoon Cho |
| author_facet | Seong-Hoon Cho |
| author_sort | Seong-Hoon Cho |
| collection | DOAJ |
| description | The notion of C-class functions in Banach algebras is introduced. By using such concept, a new fixed point theorem is established. An example to illustrate main theorem is given. Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given. |
| format | Article |
| id | doaj-art-85a5816ff227474699b2e11d8a88dbb1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-85a5816ff227474699b2e11d8a88dbb12025-02-03T06:12:27ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/93950579395057Fixed Point Theorems in Complete Cone Metric Spaces over Banach AlgebrasSeong-Hoon Cho0Department of Mathematics, Hanseo University, 46 hanseo 1ro, Chungnam, 31962, Republic of KoreaThe notion of C-class functions in Banach algebras is introduced. By using such concept, a new fixed point theorem is established. An example to illustrate main theorem is given. Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given.http://dx.doi.org/10.1155/2018/9395057 |
| spellingShingle | Seong-Hoon Cho Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras Journal of Function Spaces |
| title | Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras |
| title_full | Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras |
| title_fullStr | Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras |
| title_full_unstemmed | Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras |
| title_short | Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras |
| title_sort | fixed point theorems in complete cone metric spaces over banach algebras |
| url | http://dx.doi.org/10.1155/2018/9395057 |
| work_keys_str_mv | AT seonghooncho fixedpointtheoremsincompleteconemetricspacesoverbanachalgebras |