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Zbl 1169.28008
Liu, Yingfan
A set-valued type inequality system. (English)
[J] Nonlinear Anal., Theory Methods Appl. 69, No. 11, A, 4131-4142 (2008). ISSN 0362-546X

Author's abstract: A set-valued type inequality system is introduced along with two solvability questions composed of existence and perturbation, and main theorems are obtained, which include three necessary and sufficient conditions concerning the existence and a continuity property concerning the perturbation. As applications, two existence criteria with respect to a single-valued type inequality system have also been obtained.
[Tomasz Kubiak (Poznań)]
MSC 2000:
*28B15 Set functions, etc. with values in ordered spaces
54C60 Set-valued maps

Keywords: input-output; inequality; minimax; saddle point; nonlinear analysis

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