We generalize a known result of A. Petrusel [Multivalued weakly Picard operators and applications, Scientiae Mathematicae Japonicae, 59 (2004), 169-202] for continuous multifunctions in posets. Our main result proves the existence of the minimum fixed point provided some suitable conditions are satified. Some examples illustrate the obtained results. Keywords: Poset

Continuous Multifunctions in Posets with Minimum Fixed Point

DIVICCARO, MARIA LUIGIA
2012

Abstract

We generalize a known result of A. Petrusel [Multivalued weakly Picard operators and applications, Scientiae Mathematicae Japonicae, 59 (2004), 169-202] for continuous multifunctions in posets. Our main result proves the existence of the minimum fixed point provided some suitable conditions are satified. Some examples illustrate the obtained results. Keywords: Poset
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/423084
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