Differentiable programming in Banach spaces

1 January 1983

journal article
research article
Published by Taylor & Francis in Mathematische Operationsforschung und Statistik. Series Optimization

Vol. 14 (4) , 499-508
https://doi.org/10.1080/02331938308842884

Abstract

For an abstract differentiate mathematical programming problem defined in a Banach space we obtain generalized Kuhn-Tucker necessary conditions for optimality. We obtain these conditions by replacing the usual closed cone hypothesis by a closed range condition on a suitable linear operator. The latter condition is automatically satisfied in finite dimensions.

Keywords

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