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Iterative methods for solving a system of variational inclusions involving -monotone operators in Banach spaces

✍ Scribed by Jian Lou; Xin-Feng He; Zhen He

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 245 KB
Volume: 55
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.07.010

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✦ Synopsis

In this paper, we introduce and study a new system of variational inclusions involving H -η-monotone operators in Banach space. Using the resolvent operator associated with H -η-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 sequence of iterates generated by the algorithm.

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