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117 721 (0,161s)

Result

Differentiability of approximately convex, semiconcave and strongly paraconvex functions

New results on differentiability of approximately convex functions on Banach spaces are proved.

BA - Obecná matematika

  • 2008
  • Jx
Result

On sets of non-differentiability of Lipschitz and convex functions

Several notes on sets of non-differentiability of Lipschitz and convex functions are presented. It is proved that the set of non-differentiability points of a convex function in a Euclidean space is sigma-stron...

BA - Obecná matematika

  • 2007
  • Jx
Result

Descriptive properties of vector-valued affine functions

We study descriptive properties of strongly affine vector-valued functions on compact convex sets.

Pure mathematics

  • 2019
  • Jimp
  • Link
Result

The Dirichlet problem on compact convex sets

Let X be a compact convex set with the set ext X of extreme points being Lindelof and f: ext X -> F be a bounded Baire mapping with values in a Frechet space F. We present a necessary and sufficient condition for f to be extended to a

Pure mathematics

  • 2021
  • Jimp
  • Link
Result

Some remarks on farthest points

We use renormings and generic differentiability of convex functions to prove some results on farthest points in sets in Banach spaces. As a corollary, we obtain an alternative proof of the Lindenstrauss-Troyanski result on represent...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

A note on multiobjective stochastic programming problems and strongly convex functions

of the objective functions is supposed to be strongly convex.Multiobjective problems with an operator of mathematical expectation in objective functions and a constraints set depending (generally) on a probability...

BB - Aplikovaná statistika, operační výzkum

  • 2004
  • D
Result

A note on the relationship between strongly convex functions and multiobjective stochastic programming problems

The paper considers multiobjective optimization problems in which objective functions are in the form of mathematical expectation of functions depending on a random element and a constraint set can depends on the underlying probabil...

BB - Aplikovaná statistika, operační výzkum

  • 2005
  • D
Result

Convex and Quasi - Convex Functions and its Properties.

Basic themes in document: Quasi-convex function; convex function; centrally-convex function. Ż ą Ë Î Ń Ó Ű Ý :......

BA - Obecná matematika

  • 2002
  • Jx
Result

Helmholtz Stereopsis on rough and strongly textured surfaces

So far, Helmholtz Stereopsis has been widely applied to objects of smooth geometry and piecewise uniform Bidirectional Reflectance Distribution Function (BRDF). Moreover, for non-convex surfaces the inter-reflection effects have bee...

JD - Využití počítačů, robotika a její aplikace

  • 2004
  • D
Result

Complexity Iteration Analysis for Strongly Convex Multi-objective Optimization Using a Newton Path-following Procedure

In this note, we consider the iteration complexity of solving strongly convex multi-objective optimization problems. We discuss the precise meaning of this problem, noting that its definition is ambiguous, and focus on the most natu...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2021
  • Jimp
  • Link
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