A new topological minimax theorem with application

  • Authors:
  • Hoang Tuy

  • Affiliations:
  • Institute of Mathematics, Hanoi, Vietnam 10307

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2011

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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.