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Zbl 1200.49016
Liu, Yingfan
Solvability criteria for some set-valued inequality systems. (English)
[J] J. Inequal. Appl. 2010, Article ID 543061, 17 p. (2010). ISSN 1029-242X/e

Summary: Arising from studying some multivalued von Neumann model, three set-valued inequality systems are introduced, and two solvability questions are considered. By constructing some auxiliary functions and studying their minimax and saddle-point properties, solvability criteria composed of necessary and sufficient conditions regarding these inequality systems are obtained.
MSC 2000:
*49J53 Set-valued and variational analysis
49J35 Minimax problems (existence)

Keywords: multivalued von Neumann model; set-valued inequality systems; minimax and saddle-point properties

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