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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2003 Issue 2, Pages 3–13 (Mi uzeru516)

Mathematics

On continuity of multivalued mappings

R. A. Khachatryan, A. R. Khachatryan

Yerevan State University, Faculty of Informatics and Applied Mathematics

Abstract: The problem of continuity of multivalued mappings plays a great role in parametrical problems of optimization and in theory of differential inclusion. The article studies the problem of continuity of some multivalued mappings, which are given by inequalities and equations. The article also provides sufficient conditions, under which the intersection of multivalued mappings is a continuous multivalued mapping too.

Keywords: Parametrical problems, inequalities and equations.

UDC: 519.6

Received: 25.04.2002
Accepted: 03.06.2003



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