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Open access 2020

Nonlinear Images of Sets. I: Strong and Weak Convexity

<jats:p> Developing the Polyak convexity principle, we show that strong convexity of a set in a Hilbert space is preserved under a <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">C^{1,1}</jats:tex-math>...

G. Ivanov · 6 citations
Open access 2013

On Well Posed Best Approximation Problems for a Nonsymmetric Seminorm

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

G. Ivanov · 13 citations · ⚡1
Open access 2015

Continuity and Selections of the Intersection Operator Applied to Nonconvex Sets

<jats:p> For a convex body <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">C</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mr...

G. Ivanov · 6 citations

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