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Nguyen Nang Tam, Nguyen Dong Yen, Ravines of quadratic functions

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DOI: 10.23952/jano.6.2024.2.03
Volume 6, Issue 2, 1 August 2024, Pages 203-209

 

Abstract. In this paper, the notion of the ravine of real-valued functions is extended from the finite-dimensional setting to an infinite-dimensional setting. Ravines of quadratic functions are studied in detail. The obtained results solve a problem raised by Professor Joachim Gwinner. In addition, it is proved that a weakly continuous real-valued convex function defined on a reflexive Banach space cannot have any ravine along the null subspace.

 

How to Cite this Article:
N.N. Tam, N.D. Yen, Ravines of quadratic functions, J. Appl. Numer. Optim. 6 (2024), 203-209.