Common fixed point theorems for commuting k-uniformly Lipschitzian mappings
We give a common fixed point existence theorem for any sequence of commuting k-uniformly Lipschitzian mappings (eventually, for k=1 for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space (X,d) with uniform normal structure. After that we deduce, by using...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004902 |
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| _version_ | 1832566215239794688 |
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| author | M. Elamrani A. B. Mbarki B. Mehdaoui |
| author_facet | M. Elamrani A. B. Mbarki B. Mehdaoui |
| author_sort | M. Elamrani |
| collection | DOAJ |
| description | We give a common fixed point existence theorem for any sequence of
commuting k-uniformly Lipschitzian mappings (eventually, for
k=1 for any sequence of commuting nonexpansive mappings) defined
on a bounded and complete metric space (X,d) with uniform normal
structure. After that we deduce, by using the Kulesza and Lim
(1996), that this result can be generalized to any family of
commuting k-uniformly Lipschitzian mappings. |
| format | Article |
| id | doaj-art-754d4c30df0f422f8955ffe850c854c1 |
| 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-754d4c30df0f422f8955ffe850c854c12025-02-03T01:04:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125314515210.1155/S0161171201004902Common fixed point theorems for commuting k-uniformly Lipschitzian mappingsM. Elamrani0A. B. Mbarki1B. Mehdaoui2Département de Mathématiques et Informatique, Université Mohamed I, Oujda, MoroccoDépartement de Mathématiques et Informatique, Université Mohamed I, Oujda, MoroccoDépartement de Mathématiques et Informatique, Université Mohamed I, Oujda, MoroccoWe give a common fixed point existence theorem for any sequence of commuting k-uniformly Lipschitzian mappings (eventually, for k=1 for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space (X,d) with uniform normal structure. After that we deduce, by using the Kulesza and Lim (1996), that this result can be generalized to any family of commuting k-uniformly Lipschitzian mappings.http://dx.doi.org/10.1155/S0161171201004902 |
| spellingShingle | M. Elamrani A. B. Mbarki B. Mehdaoui Common fixed point theorems for commuting k-uniformly Lipschitzian mappings International Journal of Mathematics and Mathematical Sciences |
| title | Common fixed point theorems for
commuting k-uniformly Lipschitzian mappings |
| title_full | Common fixed point theorems for
commuting k-uniformly Lipschitzian mappings |
| title_fullStr | Common fixed point theorems for
commuting k-uniformly Lipschitzian mappings |
| title_full_unstemmed | Common fixed point theorems for
commuting k-uniformly Lipschitzian mappings |
| title_short | Common fixed point theorems for
commuting k-uniformly Lipschitzian mappings |
| title_sort | common fixed point theorems for commuting k uniformly lipschitzian mappings |
| url | http://dx.doi.org/10.1155/S0161171201004902 |
| work_keys_str_mv | AT melamrani commonfixedpointtheoremsforcommutingkuniformlylipschitzianmappings AT abmbarki commonfixedpointtheoremsforcommutingkuniformlylipschitzianmappings AT bmehdaoui commonfixedpointtheoremsforcommutingkuniformlylipschitzianmappings |