A new class of general variational inclusions involving maximal $\eta$-monotone mappings
By Nan-Jing Huang, Yaping Fang. Publicationes mathematicae (Debrecen), 2003
74 citations recorded by the source corpus.
A new class of maximal η-monotone mappings is introduced and studied in Hilbert spaces and the Lipschitz continuity of the resolvent operator for maximal η-monotone mapping is proved in this paper. We also introduce and study a new class of general variational inclusions involving maximal η-monotone mappings and construct a new algorithm for solving this class of general variational inclusions by using the resolvent operator technique for maximal η-monotone mapping. The results presented in this paper extend and improve many known results in the literature.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/40b1f4aa5cc7f1d9af1bf0053434ae2b0490248b
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In Civil and Structural Engineering
In Computational Theory and Mathematics
Citations in the corpus
- A new system of generalized mixed quasi-variational inclusions with (H,η)-monotone operators☆ (2007, background): “[1,38] Let H,g :H → H, η :H ×H → H be three single-valued operators.”