线性规划中的广义容量与对偶定理

Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry Pub Date : 1966-01-01 DOI:10.32917/HMJ/1206139188

M. Ohtsuka

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引用次数: 16

摘要

近年来，博弈论和线性规划的某些结果已被应用于势理论。我们提到了M. Nakai [2]， B. Fuglede[1]和M. Ohtsuka[4]。我们的论文就是沿着这条线走的。更准确地说，博弈论中的极大极小定理在[4]中被应用到容量理论中。对于紧Hausdorff空间K和K x K上有界的扩展实值下半连续函数Φ，作者建立了

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Generalized capacity and duality theorem in linear programming

Recently certain results in the theory of games and linear programming have been applied to potential theory. We mention M. Nakai [2], B. Fuglede [1] and M. Ohtsuka [4]. Our paper is along this line. More precisely, the minimax theorem in the theory of games was applied to the theory of capacity in [4]. For a compact Hausdorff space K and an extended real-valued lower semicontinuous function Φ on K x K which is bounded below, the author established

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Journal of science of the Hiroshima University Ser. A Mathematics, physics, chemistry

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