Fixed Point and Weak Convergence Theorems for (α, β)-Hybrid Mappings in Banach Spaces

We introduce the class of (α,β)-hybrid mappings relative to a Bregman distance Df in a Banach space, and then we study the fixed point and weak convergence problem for such mappings.

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2012; no. 2012; pp. 326 - 337-621
Main Authors Kuo, Tian-Yuan, Jeng, Jyh-Chung, Huang, Young-Ye, Hong, Chung-Chien
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2012
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
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Summary:We introduce the class of (α,β)-hybrid mappings relative to a Bregman distance Df in a Banach space, and then we study the fixed point and weak convergence problem for such mappings.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/789043