Open AccessHybrid algorithm for an α -nonexpansive mapping in a Banach space
Author(s) -
ZiMing Wang,
Yongfu Su,
Jinlong Kang
Publication year - 2012
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.005.01.07
Subject(s) - mathematics , banach space , space (punctuation) , algorithm , pure mathematics , computer science , operating system
In this paper, we prove strong convergence theorem by the hybrid method for an α−nonexpansive mapping in a Banach space. Our results complement and enrich the research contents of α−nonexpansive mapping. Simultaneously, our main result generalizes Takahashi, Takeuchi, Kubota’s result[W. Takahashi, Y. Takeuchi , R. Kubota, J. Math. Anal. Appl. 341 (2008) 276-286]. c ©2012 NGA. All rights reserved.
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