# A more complete version of a minimax theorem

@inproceedings{Ricceri2021AMC, title={A more complete version of a minimax theorem}, author={Biagio Ricceri}, year={2021} }

In this paper, we present a more complete version of the minimax theorem established in [7]. As a consequence, we get, for instance, the following result: Let X be a compact, not singleton subset of a normed space (E, ‖ · ‖) and let Y be a convex subset of E such that X ⊆ Y . Then, for every convex set S ⊆ Y dense in Y , for every upper semicontinuous bounded function γ : X → R and for every λ > 4 supX |γ| diam(X) , there exists y ∈ S such that the function x→ γ(x) + λ‖x− y‖ has at least two…

## One Citation

On the Generalization of a Multiplicity Result

- MathematicsMathematics
- 2022

In this work, we shifted a recent multiplicity result by B. Ricceri from a Hilbert space to a Banach space setting by making use of a duality mapping relative to some increasing function. Using the…

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