Iterative Convergence Theorems for Maximal Monotone Operators and Nonexpansive Mappings and Their Applications
Received:March 09, 2007  Revised:September 07, 2007
Key Words: maximal monotone operator   iterative scheme   strong convergence   zero point   fixed point.  
Fund Project:the National Natural Science Foundation of China (No.10771050).
Author NameAffiliation
WEI Li School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050061, China 
ZHOU Hai Yun Institute of Nonlinear Analysis, North China Electric Power University, Hebei 071003, China 
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Abstract:
      In this paper, two iterative schemes for approximating common element of the set of zero points of maximal monotone operators and the set of fixed points of a kind of generalized nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Two strong convergence theorems are obtained and their applications on finding the minimizer of a kind of convex functional are discussed, which extend some previous work.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.02.011
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