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New general systems of set-valued variational inclusions involving relative ( A , η )-maximal monotone operators in Hilbert spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lan, Heng-You |
| Copyright Year | 2014 |
| Abstract | *Correspondence: hengyoulan@163.com 1Institute of Nonlinear Science and Engineering Computing, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, P.R. China 2Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things, Zigong, Sichuan 643000, P.R. China Abstract 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/1029-242X-2014-407 |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Algorithm Approximation Calculus of variations Convergence (action) Hilbert space Inclusion Bodies Internet of things Iterative method Resolution (logic) Solutions Variational principle monotone |
| Content Type | Text |
| Resource Type | Article |