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A new topological minimax theorem with application

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Abstract

A new topological minimax theorem is established for functions on \({C\times \mathbb R}\) where C is a topological space. Although this theorem includes as special cases most important recent results on this subject, its proof is surprisingly simple. An application to nonlinear optimization theory is considered.

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  1. Institute of Mathematics, 18 Hoang Quoc Viet, Hanoi, 10307, Vietnam

    Hoang Tuy

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  1. Hoang Tuy
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Correspondence to Hoang Tuy.

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Tuy, H. A new topological minimax theorem with application. J Glob Optim 50, 371–378 (2011). https://doi.org/10.1007/s10898-010-9591-z

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  • DOI: https://doi.org/10.1007/s10898-010-9591-z

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