Abstract
The problem of extension of the classical extremum conditions for strongly differentiable functionals in a Banach space to normally differentiable and compactly normally differentiable functionals in a locally convex space is investigated.
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Orlov, I.V. Normal Differentiability and Extrema of Functionals in a Locally Convex Space. Cybernetics and Systems Analysis 38, 493–502 (2002). https://doi.org/10.1023/A:1021197916967
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DOI: https://doi.org/10.1023/A:1021197916967