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Displaying similar documents to “Ball versus distance convexity of metric spaces.”

Minimax theorems with applications to convex metric spaces

Jürgen Kindler (1995)

Colloquium Mathematicae

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A minimax theorem is proved which contains a recent result of Pinelis and a version of the classical minimax theorem of Ky Fan as special cases. Some applications to the theory of convex metric spaces (farthest points, rendez-vous value) are presented.

On metric products

Irmina Herburt, Maria Moszyńska (1991)

Colloquium Mathematicae

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Necessary and sufficient conditions for generalized convexity

Janusz Krzyszkowski (1995)

Annales Polonici Mathematici

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We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n-parameter family.