DEMICONTINUITY,GENERALIZED CONVEXITY AND LOOSE SADDLE POINTS OF SET-VALUED MAPS |
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Abstract: | Abstract The aim of this paper is to establish the existence of loose saddle points for a set-valued map which is defined in a topological vector space and possesses the demicontinuity and generalized convexity. Our results strengthen several previously obtained results on the existence of saddle and loose saddle points for single- or set-valued maps. |
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Keywords: | Demicontinuity Generalized convexity Loose saddle point Saddle point Set-valued map |
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