Contractive mappings on a premetric space
In this paper, we study the fixed point property of certain types of contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000515 |
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| _version_ | 1832560424328888320 |
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| author | C. Y. Shen A. Sound |
| author_facet | C. Y. Shen A. Sound |
| author_sort | C. Y. Shen |
| collection | DOAJ |
| description | In this paper, we study the fixed point property of certain types of
contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed. |
| format | Article |
| id | doaj-art-f21003b187544bf5844f52de594b6c08 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f21003b187544bf5844f52de594b6c082025-02-03T01:27:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018346947510.1155/S0161171285000515Contractive mappings on a premetric spaceC. Y. Shen0A. Sound1Mathematics and Statistics Department, Simon Fraser University, Burnaby, B.C. V5A 1S6, CanadaMathematics and Statistics Department, Simon Fraser University, Burnaby, B.C. V5A 1S6, CanadaIn this paper, we study the fixed point property of certain types of contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed.http://dx.doi.org/10.1155/S0161171285000515premetric spacesequentially ϕ-contractive mappingsgeometric mean contractioniteratively ϕ-contractive mappingtopological vector space. |
| spellingShingle | C. Y. Shen A. Sound Contractive mappings on a premetric space International Journal of Mathematics and Mathematical Sciences premetric space sequentially ϕ-contractive mappings geometric mean contraction iteratively ϕ-contractive mapping topological vector space. |
| title | Contractive mappings on a premetric space |
| title_full | Contractive mappings on a premetric space |
| title_fullStr | Contractive mappings on a premetric space |
| title_full_unstemmed | Contractive mappings on a premetric space |
| title_short | Contractive mappings on a premetric space |
| title_sort | contractive mappings on a premetric space |
| topic | premetric space sequentially ϕ-contractive mappings geometric mean contraction iteratively ϕ-contractive mapping topological vector space. |
| url | http://dx.doi.org/10.1155/S0161171285000515 |
| work_keys_str_mv | AT cyshen contractivemappingsonapremetricspace AT asound contractivemappingsonapremetricspace |