| An Iterative Algorithm of Common Zero Points for Two Maximal Monotone Operators in Banach Space |
| Received:October 08, 2005 Revised:July 02, 2006 |
| Key Words:
Lyapunov functional maximal monotone operator uniformly convex Banach space.
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| Fund Project:the National Natural Science Foundation of China (10471033). |
| Author Name | Affiliation | | WEI Li | School of Mathematics and Statistics, Hebei University of Economics and Business, Hebei 050016, China
Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Hebei 050003, China | | ZHOU Hai-yun | Institute of Applied Mathematics and Mechanics, Ordnance Engineering College, Hebei 050003, China
Institute of Mathematics and Information Science, Hebei Normal University, Hebei 050016, China |
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| Abstract: |
| Let $E$ be a real smooth and uniformly convex Banach space with $E^*$ being its duality space. Let $A,B \subset E \times E^*$ be maximal monotone operators with $A^{-1}0\cap B^{-1}0 \neq \emptyset$. A new iterative algorithm is introduced which is proved to be weakly convergent to common zero points of maximal monotone operators $A$ and $B$ by using the techniques of Lyapunov functional and generalized projection operator, etc. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.041 |
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