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Fixed points of the contractive or expansive type for multivalued mappings: toward a unified approach
Palabras clave:
Multivalued mappings, Contractions and expansions, Fixed and coincidence points of maps, Weak and local commutativity of maps, Compatible pairs, 2000 Mathematics Subject Classification, Primary: 54H25, Secondary: 47H10 (en)Descargas
Abstract. A condition on the functions ϕ : R+ → R + = [0 , +oo) 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 (ϕ(t) < t for t > 0) or expanding maps (ϕ (t) > t for all t > 0), it also allows, to some extent, a unified approach to both types of problems.
Referencias
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