Remarks on a fixed-point theorem of Gerald Jungck
Jungck [1] obtained a fixed-point theorem for a pair of continuous selfmappings on a complete metric space. Recently, Barada K. Ray [2] extended the theorem of Jungck [1] for three self-mappings on a complete metric space. In the present paper we omit the continuity of the mapping used by Ray [2] an...
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171290001089 |
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| _version_ | 1832552457029287936 |
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| author | Maibam Ranjit Singh |
| author_facet | Maibam Ranjit Singh |
| author_sort | Maibam Ranjit Singh |
| collection | DOAJ |
| description | Jungck [1] obtained a fixed-point theorem for a pair of continuous selfmappings on a complete metric space. Recently, Barada K. Ray [2] extended the theorem of Jungck [1] for three self-mappings on a complete metric space. In the present paper we omit the continuity of the mapping used by Ray [2] and replace his four
conditions by a single condition. Our results so obtained generalize and/or unify fixed-point theorems of Jungck [1], Ray [2], Rhoades [3], Ciric [4], Pal and Maiti [5], and Sharma and Yuel [6]. |
| format | Article |
| id | doaj-art-bf9c85b74dab401d9d346fa10066976f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bf9c85b74dab401d9d346fa10066976f2025-02-03T05:58:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113477978210.1155/S0161171290001089Remarks on a fixed-point theorem of Gerald JungckMaibam Ranjit Singh0Department of Mathematics, Manipur University, Imphal 795003, IndiaJungck [1] obtained a fixed-point theorem for a pair of continuous selfmappings on a complete metric space. Recently, Barada K. Ray [2] extended the theorem of Jungck [1] for three self-mappings on a complete metric space. In the present paper we omit the continuity of the mapping used by Ray [2] and replace his four conditions by a single condition. Our results so obtained generalize and/or unify fixed-point theorems of Jungck [1], Ray [2], Rhoades [3], Ciric [4], Pal and Maiti [5], and Sharma and Yuel [6].http://dx.doi.org/10.1155/S0161171290001089fixed point theoremcontinuous self-mappingsand complete metric space. |
| spellingShingle | Maibam Ranjit Singh Remarks on a fixed-point theorem of Gerald Jungck International Journal of Mathematics and Mathematical Sciences fixed point theorem continuous self-mappings and complete metric space. |
| title | Remarks on a fixed-point theorem of Gerald Jungck |
| title_full | Remarks on a fixed-point theorem of Gerald Jungck |
| title_fullStr | Remarks on a fixed-point theorem of Gerald Jungck |
| title_full_unstemmed | Remarks on a fixed-point theorem of Gerald Jungck |
| title_short | Remarks on a fixed-point theorem of Gerald Jungck |
| title_sort | remarks on a fixed point theorem of gerald jungck |
| topic | fixed point theorem continuous self-mappings and complete metric space. |
| url | http://dx.doi.org/10.1155/S0161171290001089 |
| work_keys_str_mv | AT maibamranjitsingh remarksonafixedpointtheoremofgeraldjungck |