Continuous solutions of parametric completely generalized mixed implicit quasi-variational inclusions

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS(2023)

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摘要
In this paper, by using the selection technique of set-valued mappings, under suitable conditions, we prove that the solution set of the parametric completely generalized mixed implicit quasi-variational inclusion problem (PCGMIQVIP) involving set-valued mappings is nonempty closed convex, and the PCGMIQVIP has continuous solutions with respect to the parameters. Our results are supplement and complement for many known results in this field.
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关键词
Parametric completely generalized mixed implicit quasi-variationalinclusion, Continuous solutions Continuous selections of set-valued mappings, Sensitivity analysis, Resolvent operator.
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