On common fixed points of weakly commuting mappings and set-valued mappings
Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. This improves a theorem of the second author.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1986-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171286000406 |
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| _version_ | 1832560874477322240 |
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| author | S. Sessa B. Fisher |
| author_facet | S. Sessa B. Fisher |
| author_sort | S. Sessa |
| collection | DOAJ |
| description | Our main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space,
under a contractive condition and a weak commutativity concept. This improves a theorem
of the second author. |
| format | Article |
| id | doaj-art-6e312522598a43458a4b52cfa5243044 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1986-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6e312522598a43458a4b52cfa52430442025-02-03T01:26:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019232332910.1155/S0161171286000406On common fixed points of weakly commuting mappings and set-valued mappingsS. Sessa0B. Fisher1Istituto di Matematica, Facolta di Architettura, Universita di Napoli, Via Monteoliveto 3, Napoli 80134, ItalyDepartment of Mathematics, The University, Leicester, UKOur main theorem establishes the uniqueness of the common fixed point of two set-valued mappings and of two single-valued mappings defined on a complete metric space, under a contractive condition and a weak commutativity concept. This improves a theorem of the second author.http://dx.doi.org/10.1155/S0161171286000406common fixed pointset-valued mappingweak commutativity. |
| spellingShingle | S. Sessa B. Fisher On common fixed points of weakly commuting mappings and set-valued mappings International Journal of Mathematics and Mathematical Sciences common fixed point set-valued mapping weak commutativity. |
| title | On common fixed points of weakly commuting mappings and
set-valued mappings |
| title_full | On common fixed points of weakly commuting mappings and
set-valued mappings |
| title_fullStr | On common fixed points of weakly commuting mappings and
set-valued mappings |
| title_full_unstemmed | On common fixed points of weakly commuting mappings and
set-valued mappings |
| title_short | On common fixed points of weakly commuting mappings and
set-valued mappings |
| title_sort | on common fixed points of weakly commuting mappings and set valued mappings |
| topic | common fixed point set-valued mapping weak commutativity. |
| url | http://dx.doi.org/10.1155/S0161171286000406 |
| work_keys_str_mv | AT ssessa oncommonfixedpointsofweaklycommutingmappingsandsetvaluedmappings AT bfisher oncommonfixedpointsofweaklycommutingmappingsandsetvaluedmappings |