On Uniformly Generalized Lipschitzian Mappings

被引：0
|
作者：
M Imdad
AhmedH Soliman
机构：
[1] Aligarh Muslim University,Department of Mathematics
[2] Al-Azhar University,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Fixed Point Theorem; Nonexpansive Mapping; Lipschitzian Mapping; Regular Semigroup; Bounded Subset;
D O I：
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摘要：
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).
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