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.
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Fund Project:the National Natural Science Foundation of China (No.10771050). |
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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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