| Iterative Methods for Solving a System of Variational Inclusions Involving $(H,\eta)$-Monotone Operators in Banach Spaces |
| Received:January 29, 2007 Revised:July 13, 2007 |
| Key Words:
$q$-uniformly smooth space $(H, \eta)$-monotone operator Resolvent operator technique system of variational inclusion iterative algorithm.
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| Fund Project:the Key Project of Chinese Ministry of Education (No.207104); the Natural Science Foundation of Hebei Province (No.A2006000941). |
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| Abstract: |
| In this paper, we introduce and study a new system of variational inclusions involving $(H, \eta)$-monotone operators in Banach space. Using the resolvent operator associated with $(H, \eta)$- monotone operators, we prove the existence and uniqueness of solutions for this new system of variational inclusions. We also construct a new algorithm for approximating the solution of this system and discuss the convergence of the iterative sequence generated by the algorithm. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.01.005 |
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