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An Inequality Implicit Function Theorem
Published online by Cambridge University Press: 09 April 2009
Abstract
Let f be a continuous function, and u a continuous linear function, from a Banach space into an ordered Banach space, such that f − u satisfies a Lipschitz condition and u satisfies an inequality implicit-function condition. Then f also satisfles an inequality implicit-function condition. This extends some results of Flett, Craven and S. M. Robinson.
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- Copyright © Australian Mathematical Society 1988
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