On One Parameter Semigroup of Self Mappings Uniformly Satisfying Expansive Kannan Condition

The aim of this paper is to prove existence results on fixed points for asymptotically regular uniformly expansive Kannan semigroup of selfmappings (with constant ...) defined on metric spaces equipped with uniform normal structure which further enjoys a kind of intersection property. As Banach spac...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 35; no. 3
Main Authors Imdad, M, Soliman, Ahmed H
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2012
Subjects
Mathematics
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ISSN0126-6705
2180-4206

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Summary:The aim of this paper is to prove existence results on fixed points for asymptotically regular uniformly expansive Kannan semigroup of selfmappings (with constant ...) defined on metric spaces equipped with uniform normal structure which further enjoys a kind of intersection property. As Banach spaces also fall in the class of metric spaces with uniform normal, therefore our results can be viewed as metric versions of some earlier results due to Kannan originally proved in reflexive Banach spaces besides generalizing certain previously known results due to Beg and Azam proved in convex metric spaces. 2010 Mathematics Subject Classification: 47H09, 47H10. (ProQuest: ... denotes formulae omitted.)
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ISSN:0126-6705
2180-4206