• Corpus ID: 119172895

On a minimax theorem: an improvement, a new proof and an overview of its applications

  title={On a minimax theorem: an improvement, a new proof and an overview of its applications},
  author={Biagio Ricceri},
  journal={arXiv: Functional Analysis},
  • B. Ricceri
  • Published 24 December 2016
  • Mathematics
  • arXiv: Functional Analysis
Theorem 1 of [14], a minimax result for functions $f:X\times Y\to {\bf R}$, where $Y$ is a real interval, was partially extended to the case where $Y$ is a convex set in a Hausdorff topological vector space ([15], Theorem 3.2). In doing that, a key tool was a partial extension of the same result to the case where $Y$ is a convex set in ${\bf R}^n$ ([7], Theorem 4.2). In the present paper, we first obtain a full extension of the result in [14] by means of a new proof fully based on the use of… 
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