New general systems of set-valued variational inclusions involving relative (A,η)-maximal monotone operators in Hilbert spaces

被引：0
作者：
Ting-jian Xiong
Heng-you Lan
机构：
[1] Sichuan University of Science and Engineering,Institute of Nonlinear Science and Engineering Computing
[2] Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things,undefined
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
general system of set-valued variational inclusions; relative ; -maximal monotone operator; generalized resolvent operator technique; relative relaxed cocoercive; iterative algorithm; convergence criteria;
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摘要：
The purpose of this paper is to introduce and study a class of new general systems of set-valued variational inclusions involving relative (A,η)-maximal monotone operators in Hilbert spaces. By using the generalized resolvent operator technique associated with relative (A,η)-maximal monotone operators, we also construct some new iterative algorithms for finding approximation solutions to the general systems of set-valued variational inclusions and prove the convergence of the sequences generated by the algorithms. The results presented in this paper improve and extend some known results in the literature.
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