A General Iterative Method for Multi-Valued Mappings

Our purpose in this paper is to introduce a new general iterative approximation method for a family of multi-valued mappings in reflexive Banach spaces. Under suitable conditions, some strong convergence theorems for approximating a common fixed point of a family of multi-valued mappings are obtaine...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 37; no. 3
Main Authors Wangkeeree, Rabian, Preechasilp, Pakkapon
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2014
Subjects
Mathematics
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ISSN0126-6705
2180-4206

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Summary:Our purpose in this paper is to introduce a new general iterative approximation method for a family of multi-valued mappings in reflexive Banach spaces. Under suitable conditions, some strong convergence theorems for approximating a common fixed point of a family of multi-valued mappings are obtained. The main result extends various results existing in the current literature. 2010 Mathematics Subject Classification:47H09, 47H10, 47H17
Bibliography:ObjectType-Article-1
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ISSN:0126-6705
2180-4206