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AN ITERATIVE ALGORITHM FOR A NEW SYSTEM OF SET-VALUED VARIATIONAL INCLUSIONS WITH H-MONOTONE MAPPINGS
This work was supported by the State 863 Program (2003AA148040), the National Natural Science Foundation of China (grant number 10471151,60216263, 6990312) and the Educational Science Foundation of Chongqing, Chongqing of China (KJ051307).
https://doi.org/10.1142/9789812772763_0114Cited by:0 (Source: Crossref)
Abstract:
In this paper, we introduce and study a new system of set-valued variational inclusions involving H-monotone mappings in Hilbert spaces. By using the resolvent operator method associated with H-monotone mappings, we construct a new iterative algorithm approximating the solution of this system of set-valued variational inclusion and discuss the convergence analysis of the algorithm.
