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Existence theorems on unbounded sets in Banach spaces

Authors: Norimichi Hirano and Wataru Takahashi
Journal: Proc. Amer. Math. Soc. 80 (1980), 647-650
MSC: Primary 47H05
MathSciNet review: 587945
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Abstract: In this paper, we give a necessary and sufficient condition under which a variational inequality defined on unbounded sets in a Banach space has a solution. Furthermore, we establish a necessary and sufficient condition under which the minimax equality on unbounded sets is true.

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Article copyright: © Copyright 1980 American Mathematical Society

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