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On some nonself mappings
Let X be a Banach space, let K be a non–empty closed subset of X and let T : K → X be a non–self mapping. The main result of this paper is that if T satisfies the contractive–type condition (1.1) below and maps ∂K (∂K the boundary of K) into K then T has a unique fixed point in K.
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| Published in: | Mathematische Nachrichten 2003-03, Vol.251 (1), p.28-33 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c3268-866166944b78895930d262ead0967d001e867a1f068a9516bfed30754c3d8e0b3 |
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| cites | cdi_FETCH-LOGICAL-c3268-866166944b78895930d262ead0967d001e867a1f068a9516bfed30754c3d8e0b3 |
| container_end_page | 33 |
| container_issue | 1 |
| container_start_page | 28 |
| container_title | Mathematische Nachrichten |
| container_volume | 251 |
| creator | Ćirić, LJ. B. Ume, J. S. Khan, M. S. Pathak, H. K. |
| description | Let X be a Banach space, let K be a non–empty closed subset of X and let T : K → X be a non–self mapping. The main result of this paper is that if T satisfies the contractive–type condition (1.1) below and maps ∂K (∂K the boundary of K) into K then T has a unique fixed point in K. |
| doi_str_mv | 10.1002/mana.200310028 |
| format | article |
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| fulltext | fulltext |
| identifier | ISSN: 0025-584X |
| ispartof | Mathematische Nachrichten, 2003-03, Vol.251 (1), p.28-33 |
| issn | 0025-584X 1522-2616 |
| language | eng |
| recordid | cdi_crossref_primary_10_1002_mana_200310028 |
| source | Wiley |
| subjects | Banach space Banach space, nonself–mapping, fixed point fixed point nonself-mapping |
| title | On some nonself mappings |
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