Compact nets,filters, and relations |
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Authors: | Jean-Paul Penot |
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Affiliation: | Faculté des Sciences Exactes, Département de Mathématiques, Université de Pau, 64000 Pau, France |
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Abstract: | The notion of compact filter is introduced and compared to related notions of compact nets and compact relations. A characterization of compact nets is given in regular spaces. Several applications in optimization theory and nonlinear analysis are presented. |
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