Coincidence and fixed point theorems in metric and Banach spaces
We prove some coincidence and fixed point theorems for generalized (ϕ,f)-contractive type and f-nonexpansive type multivalued and singlevalued mappings in metric and Banach spaces, respectively. Our results extend, improve, and unify a few known results due to Browder, Browder and Petryshyn, Chang,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005646 |
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| _version_ | 1832561966443397120 |
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| author | Zeqing Liu Jeong Sheok Ume Mohammad S. Khan |
| author_facet | Zeqing Liu Jeong Sheok Ume Mohammad S. Khan |
| author_sort | Zeqing Liu |
| collection | DOAJ |
| description | We prove some coincidence and fixed point theorems for generalized (ϕ,f)-contractive type and f-nonexpansive type multivalued and singlevalued mappings in metric and Banach spaces, respectively. Our results extend, improve, and unify a few known results due to Browder, Browder and Petryshyn, Chang, Huang, and Cho, Husain and Latif, Husain and Tarafdar, and Karlovitz. |
| format | Article |
| id | doaj-art-3605ae3223cb4e289a5a3470fa57016c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3605ae3223cb4e289a5a3470fa57016c2025-02-03T01:23:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126633133910.1155/S0161171201005646Coincidence and fixed point theorems in metric and Banach spacesZeqing Liu0Jeong Sheok Ume1Mohammad S. Khan2Department of Mathematics, Liaoning Normal University, Liaoning, Dalian 116029, ChinaDepartment of Applied Mathematics, Changwon National University, Changwon 641-773, KoreaDepartment of Mathematics and Statistics, College of Science, Sultan Qaboos University, Al-khoud, Muscat 123, OmanWe prove some coincidence and fixed point theorems for generalized (ϕ,f)-contractive type and f-nonexpansive type multivalued and singlevalued mappings in metric and Banach spaces, respectively. Our results extend, improve, and unify a few known results due to Browder, Browder and Petryshyn, Chang, Huang, and Cho, Husain and Latif, Husain and Tarafdar, and Karlovitz.http://dx.doi.org/10.1155/S0161171201005646 |
| spellingShingle | Zeqing Liu Jeong Sheok Ume Mohammad S. Khan Coincidence and fixed point theorems in metric and Banach spaces International Journal of Mathematics and Mathematical Sciences |
| title | Coincidence and fixed point theorems in metric and Banach spaces |
| title_full | Coincidence and fixed point theorems in metric and Banach spaces |
| title_fullStr | Coincidence and fixed point theorems in metric and Banach spaces |
| title_full_unstemmed | Coincidence and fixed point theorems in metric and Banach spaces |
| title_short | Coincidence and fixed point theorems in metric and Banach spaces |
| title_sort | coincidence and fixed point theorems in metric and banach spaces |
| url | http://dx.doi.org/10.1155/S0161171201005646 |
| work_keys_str_mv | AT zeqingliu coincidenceandfixedpointtheoremsinmetricandbanachspaces AT jeongsheokume coincidenceandfixedpointtheoremsinmetricandbanachspaces AT mohammadskhan coincidenceandfixedpointtheoremsinmetricandbanachspaces |