Split monotone variational inclusion problem involving Cayley operators
GEORGIAN MATHEMATICAL JOURNAL(2022)
摘要
In this article, we introduce a new kind of split monotone variational inclusion problem involving Cayley operator in the setting of infinite-dimensional Hilbert spaces. We develop a general iterative method to approximate the solution of the split monotone variational inclusion problem involving Cayley operator. Under some suitable conditions, a convergence theorem for the sequences generated by the proposed iterative scheme is established, which also solves certain variational inequality problems related to strongly positive linear operators. Finally, a numerical example is presented to study the efficiency of the proposed algorithm through MATLAB programming.
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关键词
Cayley operator, split monotone variational inclusion, convergence, demicontractive mapping, non-expansive mapping
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