A new class of general variational inclusions involving maximal eta-monotone mappings

作者：Huang, NJ; Fang, YP

来源：Publicationes Mathematicae-Debrecen, 2003, 62(1-2): 83-98.

DOI：10.5486/pmd.2003.2629

• variational inclusion
• maximal eta-monotone mapping
• resolvent operator
• iterative algorithm
• convergence

A new class of maximal eta-monotone mappings is introduced and studied in Hilbert spaces and the Lipschitz continuity of the resolvent operator for maximal eta-monotone mapping is proved in this paper. We also introduce and study a new class of general variational inclusions involving maximal eta-monotone mappings and construct a new algorithm for solving this class of general variational inclusions by using the resolvent operator technique for maximal eta-monotone mapping. The results presented in this paper extend and improve many known results in the literature.

• 出版日期2003-2
• 单位四川大学