1995Colloquium MathematicumOpen access

Minimax theorems with applications to convex metric spaces

Jürgen Kindler

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Mathematics, Minimax, Minimax theorem, Convex metric space, Metric (unit), Regular polygon, Metric space, Danskin's theorem

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