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

@article{Ricceri2016OnAM, title={On a minimax theorem: an improvement, a new proof and an overview of its applications}, author={Biagio Ricceri}, journal={arXiv: Functional Analysis}, year={2016} }

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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