A system of variational inclusions with P-η-accretive operators

Authors:
Jian Wen Peng;Dao Li Zhu
Affiliations:
School of Economics, Shanghai University of Economics and Finance, Shanghai 200433, PR China and School of Management, Fudan University, ShangHai 200433, PR China;School of Management, Fudan University, ShangHai 200433, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

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Abstract

In this paper, we introduce and study a system of variational inclusions with P-@h-accretive operators in real q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with P-@h-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and construct a Mann iterative algorithm to approximate the unique solution. The results in this paper extend and improve some known results in the literature.