On Uniformly Generalized Lipschitzian Mappings

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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Main Authors: Ahmed H. Soliman, M. Imdad
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/692401
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spelling 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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