# Second-order sufficient condition for $\tilde{\ell}$-stable functions

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2007)

- Volume: 46, Issue: 1, page 7-18
- ISSN: 0231-9721

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topBednařík, Dušan, and Pastor, Karel. "Second-order sufficient condition for $\tilde{\ell }$-stable functions." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 46.1 (2007): 7-18. <http://eudml.org/doc/32457>.

@article{Bednařík2007,

abstract = {The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.},

author = {Bednařík, Dušan, Pastor, Karel},

journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},

keywords = {second-order derivative; $C^\{1,1\}$ function; stable function; isolated minimizer of order 2; second-order derivative; function; stable function; isolated minimizer of order 2},

language = {eng},

number = {1},

pages = {7-18},

publisher = {Palacký University Olomouc},

title = {Second-order sufficient condition for $\tilde\{\ell \}$-stable functions},

url = {http://eudml.org/doc/32457},

volume = {46},

year = {2007},

}

TY - JOUR

AU - Bednařík, Dušan

AU - Pastor, Karel

TI - Second-order sufficient condition for $\tilde{\ell }$-stable functions

JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

PY - 2007

PB - Palacký University Olomouc

VL - 46

IS - 1

SP - 7

EP - 18

AB - The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.

LA - eng

KW - second-order derivative; $C^{1,1}$ function; stable function; isolated minimizer of order 2; second-order derivative; function; stable function; isolated minimizer of order 2

UR - http://eudml.org/doc/32457

ER -

## References

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