Common random fixed points of compatible random operators
We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/23486 |
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| _version_ | 1832568038458654720 |
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| author | Ismat Beg Mujahid Abbas |
| author_facet | Ismat Beg Mujahid Abbas |
| author_sort | Ismat Beg |
| collection | DOAJ |
| description | We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved. |
| format | Article |
| id | doaj-art-e3e79fae760c4bb49ea1ccf1e5c435ac |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e3e79fae760c4bb49ea1ccf1e5c435ac2025-02-03T00:59:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2348623486Common random fixed points of compatible random operatorsIsmat Beg0Mujahid Abbas1Department of Mathematics and Center for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore 54792, PakistanDepartment of Mathematics and Center for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore 54792, PakistanWe construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.http://dx.doi.org/10.1155/IJMMS/2006/23486 |
| spellingShingle | Ismat Beg Mujahid Abbas Common random fixed points of compatible random operators International Journal of Mathematics and Mathematical Sciences |
| title | Common random fixed points of compatible random operators |
| title_full | Common random fixed points of compatible random operators |
| title_fullStr | Common random fixed points of compatible random operators |
| title_full_unstemmed | Common random fixed points of compatible random operators |
| title_short | Common random fixed points of compatible random operators |
| title_sort | common random fixed points of compatible random operators |
| url | http://dx.doi.org/10.1155/IJMMS/2006/23486 |
| work_keys_str_mv | AT ismatbeg commonrandomfixedpointsofcompatiblerandomoperators AT mujahidabbas commonrandomfixedpointsofcompatiblerandomoperators |