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A new system of variational inclusions with (H, η)-monotone operators

Published online by Cambridge University Press:  17 April 2009

Jianwen Peng  and
Jianrong Huang
Jianwen Peng
Affiliation:
College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, Peoples Republic of China and School of Management, Fudan University, Shanghai 200433, Peoples Republic of China e-mail: [email protected]
Jianrong Huang
Affiliation:
College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, Peoples Republic of China
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In this paper, We introduce and study a new system of variational inclusions involving(H, η)-monotone operators in Hilbert spaces. By using the resolvent operator method associated with (H, η)-monotone operators, we prove the existence and uniqueness of solutions and the convergence of some new three-step iterative algorithms for this system of variational inclusions and its special cases. The results in this paper extends and improves some results in the literature.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 301 - 319
Copyright
Copyright © Australian Mathematical Society 2006

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