Fixed point theorems for compatible multi-valued and single-valued mappings
The notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single-valued mapping.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000293 |
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| _version_ | 1849399385111134208 |
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| author | Hideaki Kaneko Salvatore Sessa |
| author_facet | Hideaki Kaneko Salvatore Sessa |
| author_sort | Hideaki Kaneko |
| collection | DOAJ |
| description | The notion of compatibility for point-to-point mappings recently defined by
Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed
point theorem for a generalized contractive multi-valued mapping and a single-valued mapping. |
| format | Article |
| id | doaj-art-9dfed3903f7f47ada5c239b7c84a4cf2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9dfed3903f7f47ada5c239b7c84a4cf22025-08-20T03:38:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112225726210.1155/S0161171289000293Fixed point theorems for compatible multi-valued and single-valued mappingsHideaki Kaneko0Salvatore Sessa1Department of Mathematics and Statistics, Old Dominion University, Norfolk 23529, VA, USAUniversita di Napoli, Facolta di Architettura, Instituto Mathematics, Via Monteoliveto 3, Napoli 80134, ItalyThe notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single-valued mapping.http://dx.doi.org/10.1155/S0161171289000293 |
| spellingShingle | Hideaki Kaneko Salvatore Sessa Fixed point theorems for compatible multi-valued and single-valued mappings International Journal of Mathematics and Mathematical Sciences |
| title | Fixed point theorems for compatible multi-valued and
single-valued mappings |
| title_full | Fixed point theorems for compatible multi-valued and
single-valued mappings |
| title_fullStr | Fixed point theorems for compatible multi-valued and
single-valued mappings |
| title_full_unstemmed | Fixed point theorems for compatible multi-valued and
single-valued mappings |
| title_short | Fixed point theorems for compatible multi-valued and
single-valued mappings |
| title_sort | fixed point theorems for compatible multi valued and single valued mappings |
| url | http://dx.doi.org/10.1155/S0161171289000293 |
| work_keys_str_mv | AT hideakikaneko fixedpointtheoremsforcompatiblemultivaluedandsinglevaluedmappings AT salvatoresessa fixedpointtheoremsforcompatiblemultivaluedandsinglevaluedmappings |