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- handle: 10670/1.71mml2
- halshs: halshs-00310492
- doi: 10.1016/j.jmaa.2004.10.025
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info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2004.10.025
Mots-clés
KKMF principleSujets proches
Point-to-set mappings Multi-valued mappings Maps, Set-valued Multivalued mappings Many-valued mappings Mappings, Point-to-set Papers Topological vector spaces Topological linear spaces Vector topology Funds Funding Family Family structure Families--Social aspects Families--Social conditions Family life Structure, Family Family relationships Relationships, Family Finance, commerce, confiscations, etc Biography--Ancestry Relations with family Biography--Descendants Biography--Family AncestryCiter ce document
Hichem Ben-El-Mechaiekh et al., « A generalized KKMF principle », HAL-SHS : économie et finance, ID : 10.1016/j.jmaa.2004.10.025
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Résumé
We present in this paper a generalized version of the celebrated Knaster–Kuratowski–Mazurkiewicz–Fan's principle on the intersection of a family of closed sets subject to a classical geometric condition and a weakened compactness condition. The fixed point formulation of this generalized principle extends the Browder–Fan fixed point theorem to set-valued maps of non-compact convex subsets of topological vector spaces.