On manimax theory in two Hilbert spaces

E. M. El-Kholy and Hanan Ali Abdou

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-8

Abstract:

In this paper, we investigated the minimax of the bifunction J : H 1 ( Ω ) x V 2 → R m x R n , such that J ( v 1 , v 2 ) = ( ( 1 2 a ( v 1 , v 1 ) − L ( v 1 ) ) , v 2 ) where a ( . , . ) is a finite symmetric bilinear bicontinuous, coercive form on H 1 ( Ω ) and L belongs to the dual of H 1 ( Ω ) .

In order to obtain the minimax point we use lagrangian functional.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:130956

DOI: 10.1155/S0161171296000725

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