Unilateral and bilateral characterizations of increasing maps

• Autores: Luc Barbet
• Localización: Ninth international conference Zaragoza-Pau on applied mathematics and statistics: Jaca (Spain). September 19-21, 2005 / coord. por Monique Madaune-Tort, 2006, ISBN 84-7733-871-X, págs. 43-50
• Idioma: inglés
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• Resumen

  • We define and study various properties of lateral increasing for mappings de- fined between two ordered spaces. After introducing some particular classes of ordered spaces, we formulate unilateral characterizations of the property of increasing. The main theorem characterizes the increasing of a map defined on a complete totally ordered space with bilateral conditions which generalize the classical notions of right or left increasing (cf. [2])