Fixed points and continuity for multivalued mappings
Many of the contractive definitions do not require continuity of the map. However, in a previous paper the second author has shown in [1] that, in most cases, the function is continuous at a fixed point. In this paper we show that the same behavior is exhibited for many multivalued mappings.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292000024 |
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Article |
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doaj-bb14449f92b542bc92edeb6aaeb96dd52020-11-24T23:29:53ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-01151153010.1155/S0161171292000024Fixed points and continuity for multivalued mappingsTroy Hicks0B. E. Rhoades1Department of Mathematics, University of Missouri at Rolla, Rolla 65401, Missouri, USADepartment of Mathematics, University of Missouri at Rolla, Rolla 65401, Missouri, USAMany of the contractive definitions do not require continuity of the map. However, in a previous paper the second author has shown in [1] that, in most cases, the function is continuous at a fixed point. In this paper we show that the same behavior is exhibited for many multivalued mappings.http://dx.doi.org/10.1155/S0161171292000024continuityfixed pointmultivalued mapping. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Troy Hicks B. E. Rhoades |
| spellingShingle |
Troy Hicks B. E. Rhoades Fixed points and continuity for multivalued mappings International Journal of Mathematics and Mathematical Sciences continuity fixed point multivalued mapping. |
| author_facet |
Troy Hicks B. E. Rhoades |
| author_sort |
Troy Hicks |
| title |
Fixed points and continuity for multivalued mappings |
| title_short |
Fixed points and continuity for multivalued mappings |
| title_full |
Fixed points and continuity for multivalued mappings |
| title_fullStr |
Fixed points and continuity for multivalued mappings |
| title_full_unstemmed |
Fixed points and continuity for multivalued mappings |
| title_sort |
fixed points and continuity for multivalued mappings |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1992-01-01 |
| description |
Many of the contractive definitions do not require continuity of the map. However, in a previous paper the second author has shown in [1] that, in most cases, the function is continuous at a fixed point. In this paper we show that the same behavior is exhibited for many multivalued mappings. |
| topic |
continuity fixed point multivalued mapping. |
| url |
http://dx.doi.org/10.1155/S0161171292000024 |
| work_keys_str_mv |
AT troyhicks fixedpointsandcontinuityformultivaluedmappings AT berhoades fixedpointsandcontinuityformultivaluedmappings |
| _version_ |
1725543897122209792 |