Fixed points of the contractiveor expansive type for multivalued mappings: toward a unified approach

• Autores: Jaime Rodríguez Montes
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 38, Nº. 2, 2004, págs. 35-52
• Idioma: inglés
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• Resumen

  • A condition on the functions ' : R+ ! R+ = [0, +1) which, for single valued maps, has proved useful in asserting the existence of fixed points for contractions or expansions relative to either distances or w-distances, is now used to examine the behaviour of multivalued mappings. Since it applies equally to both contracting ('(t) < t for t > 0) or expanding maps ('(t) > t for all t > 0), it also allows, to some extent, a unified approach to both types of problems.