Author

L. Zaj́ıček

5 papers indexed here

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Open access 2020

On the Differentiability of Saddle and Biconvex Functions and Operators

We strengthen and generalize results of J. M. Borwein [ Generic differentiability of order-bounded convex operators, J. Austral. Math. Soc. Ser. B 28 (1986) 22–29] and of A. Ioffe and R. E. Lucchetti [Typical convex program is very well posed, Math. Program. 104 (2005) 483–499] on Fréchet and Gâteaux differentiability...

L. Veselý, L. Zaj́ıček · Journal of Convex Analysis · 0 citations

Open access 2007

On the Directions of Segments and r-Dimensional Balls on a Convex Surface

<jats:p> We prove that the set of directions of <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">(n-2)</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">...

D. Pavlica, L. Zaj́ıček · Journal of Convex Analysis · 1 citation

Open access 2022

Functions on a Convex Set which are both ω-Semiconvex and ω-Semiconcave

<jats:p> Let <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">G \subset \mathbb{R}^n</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">...

V. Kryštof, L. Zaj́ıček · Journal of Convex Analysis · 5 citations · ⚡2

Open access 2018

On Semiconcavity via the Second Difference

<jats:p> Let <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">f</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow>...

L. Zaj́ıček · Journal of Convex Analysis · 2 citations

Open access 2013

Smallness of Singular Sets of Semiconvex Functions in Separable Banach Spaces

<jats:p> Let <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">X</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow>...

J. Duda, L. Zaj́ıček · Journal of Convex Analysis · 5 citations