### Abstract

Original language | English |
---|---|

Pages (from-to) | 255-264 |

Number of pages | 10 |

Journal | Journal of Convex Analysis |

Volume | 10 |

Issue number | 1 |

Publication status | Published - 2003 |

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### Cite this

*Journal of Convex Analysis*,

*10*(1), 255-264.

**Contracting the maximal points of an ordered convex set.** / Burton, G R.

Research output: Contribution to journal › Article

*Journal of Convex Analysis*, vol. 10, no. 1, pp. 255-264.

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TY - JOUR

T1 - Contracting the maximal points of an ordered convex set

AU - Burton, G R

N1 - ID number: ISI:000185605100014

PY - 2003

Y1 - 2003

N2 - The maximal points of a nonempty closed bounded convex set in a reflexive Banach spare, relative to an ordering defined by a locally uniformly convex cone, are studied. The set of maximal points is proved to be contractible, and sufficient conditions are found for it to be contractible by a homotopy with the semigroup property, or by the flow of an ordinary differential equation.

AB - The maximal points of a nonempty closed bounded convex set in a reflexive Banach spare, relative to an ordering defined by a locally uniformly convex cone, are studied. The set of maximal points is proved to be contractible, and sufficient conditions are found for it to be contractible by a homotopy with the semigroup property, or by the flow of an ordinary differential equation.

M3 - Article

VL - 10

SP - 255

EP - 264

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

SN - 0944-6532

IS - 1

ER -