On Uniformly Generalized Lipschitzian Mappings
We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure w...
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2010-01-01
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Series: | Fixed Point Theory and Applications |
Online Access: | http://dx.doi.org/10.1155/2010/692401 |
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doaj-ccbca042d5214a7789af80fcf93342fe2020-11-24T21:44:28ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/692401On Uniformly Generalized Lipschitzian MappingsAhmed H. SolimanM. ImdadWe consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure which yield corresponding results in respect of semigroup of iterates of a self-mapping as corollaries. Our results also generalize some relevant results due to the work of Lim and Xu (1995), Yao and Zeng (2007), and Soliman (2009). http://dx.doi.org/10.1155/2010/692401 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ahmed H. Soliman M. Imdad |
spellingShingle |
Ahmed H. Soliman M. Imdad On Uniformly Generalized Lipschitzian Mappings Fixed Point Theory and Applications |
author_facet |
Ahmed H. Soliman M. Imdad |
author_sort |
Ahmed H. Soliman |
title |
On Uniformly Generalized Lipschitzian Mappings |
title_short |
On Uniformly Generalized Lipschitzian Mappings |
title_full |
On Uniformly Generalized Lipschitzian Mappings |
title_fullStr |
On Uniformly Generalized Lipschitzian Mappings |
title_full_unstemmed |
On Uniformly Generalized Lipschitzian Mappings |
title_sort |
on uniformly generalized lipschitzian mappings |
publisher |
SpringerOpen |
series |
Fixed Point Theory and Applications |
issn |
1687-1820 1687-1812 |
publishDate |
2010-01-01 |
description |
We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric spaces equipped with uniform normal structure which yield corresponding results in respect of semigroup of iterates of a self-mapping as corollaries. Our results also generalize some relevant results due to the work of Lim and Xu (1995), Yao and Zeng (2007), and Soliman (2009). |
url |
http://dx.doi.org/10.1155/2010/692401 |
work_keys_str_mv |
AT ahmedhsoliman onuniformlygeneralizedlipschitzianmappings AT mimdad onuniformlygeneralizedlipschitzianmappings |
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1716658300003549184 |