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A technique for finding minimal paths in subspaces of a metric space
Published online by Cambridge University Press: 09 April 2009
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In this paper the problem of constructing an arc of minimum length joining two fixed points: P1, P2, in an arbitrary subset: S, of a metric space is considered. The approach taken is a departure from the classical methods of the calculus of variations in that it is topological character, making use of the properties of sets rather than differential calculus.
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- Copyright © Australian Mathematical Society 1975